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145420013404440 = 233253079131193401
BaseRepresentation
bin100001000100001000111100…
…001111100000000100011000
3201001220000110202200022200200
4201010020330033200010120
5123030030141412420230
61233141010520302200
742426151332055155
oct4104107417400430
9631800422608620
10145420013404440
1142376310525075
1214387458311960
13631b082501c38
1427ca51ac0b22c
1511c2a9561e160
hex84423c3e0118

145420013404440 has 96 divisors (see below), whose sum is σ = 472768543447200. Its totient is φ = 38766075379200.

The previous prime is 145420013404433. The next prime is 145420013404441. The reversal of 145420013404440 is 44404310024541.

145420013404440 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 200 + 1 + 3 + 4 + 0 + 4 + 440 = 666.

It is a super-2 number, since 2×1454200134044402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 145420013404395 and 145420013404404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145420013404441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64488261 + ... + 66705140.

It is an arithmetic number, because the mean of its divisors is an integer number (4924672327575).

Almost surely, 2145420013404440 is an apocalyptic number.

145420013404440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145420013404440 is an abundant number, since it is smaller than the sum of its proper divisors (327348530042760).

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

145420013404440 is a wasteful number, since it uses less digits than its factorization.

145420013404440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131196497 (or 131196490 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 145420013404440 its reverse (44404310024541), we get a palindrome (189824323428981).

The spelling of 145420013404440 in words is "one hundred forty-five trillion, four hundred twenty billion, thirteen million, four hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3079 6158 9237 12316 15395 18474 24632 27711 30790 36948 46185 55422 61580 73896 92370 110844 123160 138555 184740 221688 277110 369480 554220 1108440 131193401 262386802 393580203 524773604 655967005 787160406 1049547208 1180740609 1311934010 1574320812 1967901015 2361481218 2623868020 3148641624 3935802030 4722962436 5247736040 5903703045 7871604060 9445924872 11807406090 15743208120 23614812180 47229624360 403944481679 807888963358 1211833445037 1615777926716 2019722408395 2423666890074 3231555853432 3635500335111 4039444816790 4847333780148 6059167225185 7271000670222 8078889633580 9694667560296 12118334450370 14542001340444 16157779267160 18177501675555 24236668900740 29084002680888 36355003351110 48473337801480 72710006702220 145420013404440