Search a number
-
+
40867041072737 = 1132910119795297
BaseRepresentation
bin10010100101011000110010…
…11101110101011001100001
312100200211222100200010001002
421102230121131311121201
520324031200003311422
6222530020503321345
711415355242416225
oct1122543135653141
9170624870603032
1040867041072737
1112026684314000
124700381450255
1319a598c958139
14a13d924a2785
154ad0a3990692
hex252b19775661

40867041072737 has 64 divisors (see below), whose sum is σ = 46993700793600. Its totient is φ = 35490953344000.

The previous prime is 40867041072713. The next prime is 40867041072743. The reversal of 40867041072737 is 73727014076804.

40867041072737 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40867041072737 - 210 = 40867041071713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40867041072337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7715126873 + ... + 7715132169.

It is an arithmetic number, because the mean of its divisors is an integer number (734276574900).

Almost surely, 240867041072737 is an apocalyptic number.

It is an amenable number.

40867041072737 is a deficient number, since it is larger than the sum of its proper divisors (6126659720863).

40867041072737 is a wasteful number, since it uses less digits than its factorization.

40867041072737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7439 (or 7417 counting only the distinct ones).

The product of its (nonzero) digits is 11063808, while the sum is 56.

The spelling of 40867041072737 in words is "forty trillion, eight hundred sixty-seven billion, forty-one million, seventy-two thousand, seven hundred thirty-seven".

Divisors: 1 11 29 101 121 319 1111 1331 1979 2929 3509 5297 12221 21769 32219 38599 57391 58267 134431 153613 199879 239459 354409 534997 631301 640937 1689743 2198669 2634049 3898499 5796491 5884967 6944311 7050307 10482763 15514913 18587173 24185359 63761401 64734637 76387421 115310393 170664043 204458903 266038949 304000127 701375411 712081007 1058759063 1268414323 1877304473 3344001397 7715129521 11646349693 13952557553 20650349203 30704012827 36784015367 128109846623 337744141097 404624169037 1409208312853 3715185552067 40867041072737