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131343140004 = 22331439838353
BaseRepresentation
bin111101001010010101…
…0010100010010100100
3110120000112021211022220
41322110222110102210
54122442320440004
6140201015152340
712326543161266
oct1722452242244
9416015254286
10131343140004
115077a86209a
12215566756b0
13c50223562b
1464dda19b36
15363ac25dd9
hex1e94a944a4

131343140004 has 96 divisors (see below), whose sum is σ = 324078526464. Its totient is φ = 41336386560.

The previous prime is 131343139981. The next prime is 131343140011. The reversal of 131343140004 is 400041343131.

131343140004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1313431400042 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15719892 + ... + 15728244.

It is an arithmetic number, because the mean of its divisors is an integer number (3375817984).

Almost surely, 2131343140004 is an apocalyptic number.

It is an amenable number.

131343140004 is an abundant number, since it is smaller than the sum of its proper divisors (192735386460).

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

131343140004 is a wasteful number, since it uses less digits than its factorization.

131343140004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9417 (or 9415 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131343140004 its reverse (400041343131), we get a palindrome (531384483135).

The spelling of 131343140004 in words is "one hundred thirty-one billion, three hundred forty-three million, one hundred forty thousand, four".

Divisors: 1 2 3 4 6 12 31 43 62 86 93 124 129 172 186 258 372 516 983 1333 1966 2666 2949 3932 3999 5332 5898 7998 8353 11796 15996 16706 25059 30473 33412 42269 50118 60946 84538 91419 100236 121892 126807 169076 182838 253614 258943 359179 365676 507228 517886 718358 776829 1035772 1077537 1310339 1436716 1553658 2155074 2620678 3107316 3931017 4310148 5241356 7862034 8210999 11134549 15724068 16421998 22269098 24632997 32843996 33403647 44538196 49265994 66807294 98531988 133614588 254540969 353072957 509081938 706145914 763622907 1018163876 1059218871 1412291828 1527245814 2118437742 3054491628 4236875484 10945261667 21890523334 32835785001 43781046668 65671570002 131343140004