Search a number
-
+
40694997385152 = 2633112140940519
BaseRepresentation
bin10010100000011000010101…
…10111001111111111000000
312100002101220100010020121000
421100030022313033333000
520313221323312311102
6222315005042132000
711400054654252225
oct1120141267177700
9170071810106530
1040694997385152
1111a6a719120130
124692b68351000
1319926a249b876
14a0991123b94c
154a8884a0301c
hex25030adcffc0

40694997385152 has 112 divisors (see below), whose sum is σ = 130511734099200. Its totient is φ = 12331817383680.

The previous prime is 40694997385151. The next prime is 40694997385171. The reversal of 40694997385152 is 25158379949604.

40694997385152 is a `hidden beast` number, since 4 + 0 + 6 + 9 + 4 + 9 + 97 + 385 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40694997385151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1070451252 + ... + 1070489267.

It is a 1-persistent number, because it is pandigital, but 2⋅40694997385152 = 81389994770304 is not.

Almost surely, 240694997385152 is an apocalyptic number.

It is an amenable number.

40694997385152 is an abundant number, since it is smaller than the sum of its proper divisors (89816736714048).

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

40694997385152 is a wasteful number, since it uses less digits than its factorization.

40694997385152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140940551 (or 2140940535 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 40694997385152 in words is "forty trillion, six hundred ninety-four billion, nine hundred ninety-seven million, three hundred eighty-five 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 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 2140940519 4281881038 6422821557 8563762076 12845643114 17127524152 19268464671 23550345709 25691286228 34255048304 38536929342 47100691418 51382572456 57805394013 68510096608 70651037127 77073858684 94201382836 102765144912 115610788026 137020193216 141302074254 154147717368 188402765672 205530289824 211953111381 231221576052 282604148508 308295434736 376805531344 411060579648 423906222762 462443152104 565208297016 616590869472 635859334143 753611062688 847812445524 924886304208 1130416594032 1233181738944 1271718668286 1507222125376 1695624891048 1849772608416 2260833188064 2543437336572 3391249782096 3699545216832 4521666376128 5086874673144 6782499564192 10173749346288 13564999128384 20347498692576 40694997385152