Search a number
-
+
40903032692880 = 24325173341751037
BaseRepresentation
bin10010100110011011110101…
…01110111110000010010000
312100211021212200020212002100
421103031322232332002100
520330123402332133010
6222554332132520400
711421101165222331
oct1123157256760220
9170737780225070
1040903032692880
111203a973684a16
124707346a80100
1319a91a74439a7
14a15a08578288
154adead5e92c0
hex25337abbe090

40903032692880 has 120 divisors (see below), whose sum is σ = 145446372177912. Its totient is φ = 10265859182592.

The previous prime is 40903032692857. The next prime is 40903032692927. The reversal of 40903032692880 is 8829623030904.

It is a happy number.

40903032692880 is a `hidden beast` number, since 4 + 0 + 9 + 0 + 30 + 326 + 9 + 288 + 0 = 666.

40903032692880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5078929307904 + 35824103384976 = 2253648^2 + 5985324^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1670863279 + ... + 1670887758.

Almost surely, 240903032692880 is an apocalyptic number.

40903032692880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40903032692880 is an abundant number, since it is smaller than the sum of its proper divisors (104543339485032).

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

40903032692880 is a wasteful number, since it uses less digits than its factorization.

40903032692880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341751073 (or 3341751064 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 40903032692880 in words is "forty trillion, nine hundred three billion, thirty-two million, six hundred ninety-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 3341751037 6683502074 10025253111 13367004148 16708755185 20050506222 26734008296 30075759333 33417510370 40101012444 50126265555 53468016592 56809767629 60151518666 66835020740 80202024888 100252531110 113619535258 120303037332 133670041480 150378796665 160404049776 170429302887 200505062220 227239070516 240606074664 267340082960 284048838145 300757593330 340858605774 401010124440 454478141032 481212149328 511287908661 568097676290 601515186660 681717211548 802020248880 852146514435 908956282064 1022575817322 1136195352580 1203030373320 1363434423096 1704293028870 2045151634644 2272390705160 2406060746640 2556439543305 2726868846192 3408586057740 4090303269288 4544781410320 5112879086610 6817172115480 8180606538576 10225758173220 13634344230960 20451516346440 40903032692880