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40157433234 = 23323278911593
BaseRepresentation
bin100101011001100100…
…011100110110010010
310211122122021222022000
4211121210130312102
51124220300330414
630240441054430
72621065356552
oct453144346622
9124578258260
1040157433234
1116037907a56
127948787416
133a2c884919
141d2d46d162
1510a0733b09
hex95991cd92

40157433234 has 64 divisors (see below), whose sum is σ = 93160108800. Its totient is φ = 12798124416.

The previous prime is 40157433209. The next prime is 40157433241. The reversal of 40157433234 is 43233475104.

40157433234 is a `hidden beast` number, since 40 + 157 + 433 + 2 + 34 = 666.

It is a super-2 number, since 2×401574332342 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3458142 + ... + 3469734.

It is an arithmetic number, because the mean of its divisors is an integer number (1455626700).

Almost surely, 240157433234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40157433234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46580054400).

40157433234 is an abundant number, since it is smaller than the sum of its proper divisors (53002675566).

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

40157433234 is a wasteful number, since it uses less digits than its factorization.

40157433234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14416 (or 14410 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 40157433234 in words is "forty billion, one hundred fifty-seven million, four hundred thirty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1242 2789 5578 8367 11593 16734 23186 25101 34779 50202 64147 69558 75303 104337 128294 150606 192441 208674 266639 313011 384882 533278 577323 626022 799917 1154646 1599834 1731969 2399751 3463938 4799502 7199253 14398506 32332877 64665754 96998631 193997262 290995893 581991786 743656171 872987679 1487312342 1745975358 2230968513 4461937026 6692905539 13385811078 20078716617 40157433234