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145032366333798 = 234171312811430617
BaseRepresentation
bin100000111110011111111010…
…101011010001111101100110
3201000111221212222022210010000
4200332133322223101331212
5123002202241240140143
61232242541014242130
742356146145245356
oct4076377253217546
9630457788283100
10145032366333798
114223697689a3a9
12143242b2056346
1362c0655198a68
1427b5865496b66
1511b795845cbd3
hex83e7faad1f66

145032366333798 has 160 divisors (see below), whose sum is σ = 347957221838688. Its totient is φ = 44992300953600.

The previous prime is 145032366333797. The next prime is 145032366333809. The reversal of 145032366333798 is 897333663230541.

145032366333798 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 3 + 236 + 63 + 337 + 9 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145032366333797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 100662186 + ... + 102092802.

It is a 1-persistent number, because it is pandigital, but 2⋅145032366333798 = 290064732667596 is not.

Almost surely, 2145032366333798 is an apocalyptic number.

145032366333798 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145032366333798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173978610919344).

145032366333798 is an abundant number, since it is smaller than the sum of its proper divisors (202924855504890).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145032366333798 is a wasteful number, since it uses less digits than its factorization.

145032366333798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431060 (or 1431051 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 63.

The spelling of 145032366333798 in words is "one hundred forty-five trillion, thirty-two billion, three hundred sixty-six million, three hundred thirty-three thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 131 153 162 262 281 306 393 459 562 786 843 918 1179 1377 1686 2227 2358 2529 2754 3537 4454 4777 5058 6681 7074 7587 9554 10611 13362 14331 15174 20043 21222 22761 28662 36811 40086 42993 45522 60129 73622 85986 110433 120258 128979 180387 220866 257958 331299 360774 386937 625787 662598 773874 993897 1251574 1430617 1877361 1987794 2861234 2981691 3754722 4291851 5632083 5963382 8583702 11264166 12875553 16896249 24320489 25751106 33792498 38626659 48640978 50688747 72961467 77253318 101377494 115879977 145922934 187410827 218884401 231759954 374821654 402003377 437768802 562232481 656653203 804006754 1124464962 1206010131 1313306406 1686697443 1969959609 2412020262 3185984059 3373394886 3618030393 3939919218 5060092329 6371968118 6834057409 7236060786 9557952177 10120184658 10854091179 13668114818 15180276987 19115904354 20502172227 21708182358 28673856531 30360553974 32562273537 41004344454 52662442387 57347713062 61506516681 65124547074 86021569593 105324884774 123013033362 157987327161 172043139186 184519550043 258064708779 315974654322 369039100086 473961981483 516129417558 553558650129 895261520579 947923962966 1107117300258 1421885944449 1790523041158 2685784561737 2843771888898 4265657833347 5371569123474 8057353685211 8531315666694 16114707370422 24172061055633 48344122111266 72516183166899 145032366333798