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145011500046 = 23371797232643
BaseRepresentation
bin1000011100001101011…
…0111110010000001110
3111212022002201110102000
42013003112332100032
54333440421000141
6150341203413130
713322343261420
oct2070326762016
9455262643360
10145011500046
1156554236316
12241300841a6
131089cc1913a
147039044810
153b8ab9a5b6
hex21c35be40e

145011500046 has 128 divisors (see below), whose sum is σ = 393968655360. Its totient is φ = 38592516096.

The previous prime is 145011500027. The next prime is 145011500077. The reversal of 145011500046 is 640005110541.

145011500046 is a `hidden beast` number, since 1 + 4 + 501 + 150 + 0 + 0 + 4 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 145011499992 and 145011500019.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 507001 + ... + 739643.

It is an arithmetic number, because the mean of its divisors is an integer number (3077880120).

Almost surely, 2145011500046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145011500046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196984327680).

145011500046 is an abundant number, since it is smaller than the sum of its proper divisors (248957155314).

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

145011500046 is a wasteful number, since it uses less digits than its factorization.

145011500046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232775 (or 232769 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 145011500046 its reverse (640005110541), we get a palindrome (785016610587).

The spelling of 145011500046 in words is "one hundred forty-five billion, eleven million, five hundred thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 97 102 119 126 153 189 194 238 291 306 357 378 459 582 679 714 873 918 1071 1358 1649 1746 2037 2142 2619 3213 3298 4074 4947 5238 6111 6426 9894 11543 12222 14841 18333 23086 29682 34629 36666 44523 69258 89046 103887 207774 232643 311661 465286 623322 697929 1395858 1628501 2093787 3257002 3954931 4187574 4885503 6281361 7909862 9771006 11864793 12562722 14656509 22566371 23729586 27684517 29313018 35594379 43969527 45132742 55369034 67699113 71188758 83053551 87939054 106783137 135398226 157964597 166107102 203097339 213566274 249160653 315929194 383628307 406194678 473893791 498321306 609292017 747481959 767256614 947787582 1150884921 1218584034 1421681373 1494963918 2301769842 2685398149 2843362746 3452654763 4265044119 5370796298 6905309526 8056194447 8530088238 10357964289 16112388894 20715928578 24168583341 48337166682 72505750023 145011500046