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40102504103331 = 3418146714094157
BaseRepresentation
bin10010001111001000101111…
…00000101111110110100011
312020222202120110110222120000
421013210113200233312203
520224014412022301311
6221142500330551043
711306211302411025
oct1107442740576643
9166882513428500
1040102504103331
111186141610705a
1245b8173598483
13194b85ab12247
149c8d85d38015
15498258be3056
hex24791782fda3

40102504103331 has 80 divisors (see below), whose sum is σ = 60423546062880. Its totient is φ = 26505156648960.

The previous prime is 40102504103327. The next prime is 40102504103351. The reversal of 40102504103331 is 13330140520104.

It is a happy number.

40102504103331 is a `hidden beast` number, since 40 + 1 + 0 + 250 + 41 + 0 + 3 + 331 = 666.

It is not a de Polignac number, because 40102504103331 - 22 = 40102504103327 is a prime.

It is a super-2 number, since 2×401025041033312 (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40102504103295 and 40102504103304.

It is not an unprimeable number, because it can be changed into a prime (40102504103351) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9646979905 + ... + 9646984061.

It is an arithmetic number, because the mean of its divisors is an integer number (755294325786).

Almost surely, 240102504103331 is an apocalyptic number.

40102504103331 is a deficient number, since it is larger than the sum of its proper divisors (20321041959549).

40102504103331 is a wasteful number, since it uses less digits than its factorization.

40102504103331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6226 (or 6217 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 40102504103331 its reverse (13330140520104), we get a palindrome (53432644623435).

The spelling of 40102504103331 in words is "forty trillion, one hundred two billion, five hundred four million, one hundred three thousand, three hundred thirty-one".

Divisors: 1 3 9 27 81 181 467 543 1401 1409 1629 4157 4203 4227 4887 12471 12609 12681 14661 37413 37827 38043 84527 112239 114129 253581 255029 336717 658003 752417 760743 765087 1941319 1974009 2257251 2282229 2295261 5823957 5857213 5922027 6771753 6846687 6885783 17471871 17571639 17766081 20315259 20657349 52415613 52714917 53298243 60945777 119098543 157246839 158144751 351378739 357295629 474434253 1054136217 1060155553 1071886887 2735318471 3162408651 3180466659 3215660661 8205955413 9487225953 9541399977 9646981983 24617866239 28461677859 28624199931 73853598717 85872599793 221560796151 495092643251 1485277929753 4455833789259 13367501367777 40102504103331