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40331253105 = 3551113232129
BaseRepresentation
bin100101100011111011…
…100001010101110001
310212002202100221100000
4211203323201111301
51130044300044410
630310010420213
72625305665203
oct454373412561
9125082327300
1040331253105
1116116a39440
127996a31669
133a598a3810
141d48598773
1510b0b1adc0
hex963ee1571

40331253105 has 96 divisors (see below), whose sum is σ = 85171282560. Its totient is φ = 18050273280.

The previous prime is 40331253097. The next prime is 40331253113. The reversal of 40331253105 is 50135213304.

40331253105 is a `hidden beast` number, since 403 + 3 + 1 + 253 + 1 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (40331253097) and next prime (40331253113).

It is not a de Polignac number, because 40331253105 - 23 = 40331253097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57681 + ... + 289809.

It is an arithmetic number, because the mean of its divisors is an integer number (887200860).

Almost surely, 240331253105 is an apocalyptic number.

40331253105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40331253105 is an abundant number, since it is smaller than the sum of its proper divisors (44840029455).

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

40331253105 is a wasteful number, since it uses less digits than its factorization.

40331253105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232173 (or 232161 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 40331253105 its reverse (50135213304), we get a palindrome (90466466409).

The spelling of 40331253105 in words is "forty billion, three hundred thirty-one million, two hundred fifty-three thousand, one hundred five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 81 99 117 135 143 165 195 243 297 351 405 429 495 585 715 891 1053 1215 1287 1485 1755 2145 2673 3159 3861 4455 5265 6435 11583 13365 15795 19305 34749 57915 173745 232129 696387 1160645 2089161 2553419 3017677 3481935 6267483 7660257 9053031 10445805 12767095 15088385 18802449 22980771 27159093 31337415 33194447 38301285 45265155 56407347 68942313 81477279 94012245 99583341 114903855 135795465 165972235 206826939 244431837 282036735 298750023 344711565 407386395 497916705 620480817 733295511 896250069 1034134695 1222159185 1493750115 2688750207 3102404085 3666477555 4481250345 8066250621 13443751035 40331253105