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1311440133432 = 2331113382121251
BaseRepresentation
bin10011000101010111111…
…011000101110100111000
311122101001111222110000210
4103011113323011310320
5132441312133232212
62442244533231120
7163514465131152
oct23052773056470
94571044873023
101311440133432
114661a6847820
121921ba7924a0
139688c275870
144768caa9ad2
15241a845453c
hex13157ec5d38

1311440133432 has 64 divisors (see below), whose sum is σ = 3851782220160. Its totient is φ = 366836400000.

The previous prime is 1311440133427. The next prime is 1311440133457. The reversal of 1311440133432 is 2343310441131.

It is a super-2 number, since 2×13114401334322 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1311440133432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191057194 + ... + 191064057.

It is an arithmetic number, because the mean of its divisors is an integer number (60184097190).

Almost surely, 21311440133432 is an apocalyptic number.

1311440133432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1311440133432 is an abundant number, since it is smaller than the sum of its proper divisors (2540342086728).

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

1311440133432 is a wasteful number, since it uses less digits than its factorization.

1311440133432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382121284 (or 382121280 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 1311440133432 its reverse (2343310441131), we get a palindrome (3654750574563).

The spelling of 1311440133432 in words is "one trillion, three hundred eleven billion, four hundred forty million, one hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 382121251 764242502 1146363753 1528485004 2292727506 3056970008 4203333761 4585455012 4967576263 8406667522 9170910024 9935152526 12610001283 14902728789 16813335044 19870305052 25220002566 29805457578 33626670088 39740610104 50440005132 54643338893 59610915156 100880010264 109286677786 119221830312 163930016679 218573355572 327860033358 437146711144 655720066716 1311440133432