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40275937152 = 273411353149
BaseRepresentation
bin100101100000101000…
…100000011110000000
310211221220021121010000
4211200220200132000
51124441114442102
630300313040000
72624034550203
oct454050403600
9124856247100
1040275937152
1116098797780
1279803b6000
133a4b2a6899
141d410b993a
1510aad4101c
hex960a20780

40275937152 has 160 divisors (see below), whose sum is σ = 130757319000. Its totient is φ = 12204794880.

The previous prime is 40275937139. The next prime is 40275937181. The reversal of 40275937152 is 25173957204.

It is a happy number.

40275937152 is a `hidden beast` number, since 4 + 0 + 2 + 7 + 593 + 7 + 1 + 52 = 666.

It is a super-2 number, since 2×402759371522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40275937098 and 40275937107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62527 + ... + 290622.

Almost surely, 240275937152 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 40275937152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65378659500).

40275937152 is an abundant number, since it is smaller than the sum of its proper divisors (90481381848).

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

40275937152 is a wasteful number, since it uses less digits than its factorization.

40275937152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353186 (or 353165 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 40275937152 in words is "forty billion, two hundred seventy-five million, nine hundred thirty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 264 288 297 324 352 384 396 432 528 576 594 648 704 792 864 891 1056 1152 1188 1296 1408 1584 1728 1782 2112 2376 2592 3168 3456 3564 4224 4752 5184 6336 7128 9504 10368 12672 14256 19008 28512 38016 57024 114048 353149 706298 1059447 1412596 2118894 2825192 3178341 3884639 4237788 5650384 6356682 7769278 8475576 9535023 11300768 11653917 12713364 15538556 16951152 19070046 22601536 23307834 25426728 28605069 31077112 33902304 34961751 38140092 45203072 46615668 50853456 57210138 62154224 67804608 69923502 76280184 93231336 101706912 104885253 114420276 124308448 135609216 139847004 152560368 186462672 203413824 209770506 228840552 248616896 279694008 305120736 314655759 372925344 406827648 419541012 457681104 497233792 559388016 610241472 629311518 745850688 839082024 915362208 1118776032 1220482944 1258623036 1491701376 1678164048 1830724416 2237552064 2517246072 3356328096 3661448832 4475104128 5034492144 6712656192 10068984288 13425312384 20137968576 40275937152