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40133350452 = 223137315722447
BaseRepresentation
bin100101011000001000…
…100101010000110100
310211120221222102221010
4211120020211100310
51124143114203302
630234220552220
72620353564426
oct453010452064
9124527872833
1040133350452
1116025259228
1279406b2670
133a278a2060
141d2a1a0816
15109d57816c
hex958225434

40133350452 has 96 divisors (see below), whose sum is σ = 102885110272. Its totient is φ = 12101446656.

The previous prime is 40133350451. The next prime is 40133350493. The reversal of 40133350452 is 25405333104.

It is a super-2 number, since 2×401333504522 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40133350451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1776693 + ... + 1799139.

Almost surely, 240133350452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40133350452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51442555136).

40133350452 is an abundant number, since it is smaller than the sum of its proper divisors (62751759820).

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

40133350452 is a wasteful number, since it uses less digits than its factorization.

40133350452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22697 (or 22695 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 40133350452 its reverse (25405333104), we get a palindrome (65538683556).

The spelling of 40133350452 in words is "forty billion, one hundred thirty-three million, three hundred fifty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 146 156 157 219 292 314 438 471 628 876 942 949 1884 1898 2041 2847 3796 4082 5694 6123 8164 11388 11461 12246 22447 22922 24492 34383 44894 45844 67341 68766 89788 134682 137532 148993 269364 291811 297986 446979 583622 595972 875433 893958 1167244 1638631 1750866 1787916 3277262 3501732 3524179 4915893 6554524 7048358 9831786 10572537 14096716 19663572 21145074 21302203 42290148 42604406 45814327 63906609 85208812 91628654 127813218 137442981 183257308 255626436 257265067 274885962 514530134 549771924 771795201 1029060268 1543590402 3087180804 3344445871 6688891742 10033337613 13377783484 20066675226 40133350452