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31427136741 = 3711132805019
BaseRepresentation
bin11101010001001101…
…000000110011100101
310000010012200221221110
4131101031000303211
51003330321333431
622234252335233
72161536153240
oct352115006345
9100105627843
1031427136741
1112367887a90
126110a74519
132c6ac55500
141741bc2257
15c3e07e346
hex751340ce5

31427136741 has 48 divisors (see below), whose sum is σ = 56570365440. Its totient is φ = 15069936960.

The previous prime is 31427136739. The next prime is 31427136757. The reversal of 31427136741 is 14763172413.

It is not a de Polignac number, because 31427136741 - 21 = 31427136739 is a prime.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 31427136741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31427136721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363471 + ... + 441548.

It is an arithmetic number, because the mean of its divisors is an integer number (1178549280).

Almost surely, 231427136741 is an apocalyptic number.

It is an amenable number.

31427136741 is a deficient number, since it is larger than the sum of its proper divisors (25143228699).

31427136741 is a wasteful number, since it uses less digits than its factorization.

31427136741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805066 (or 805053 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The spelling of 31427136741 in words is "thirty-one billion, four hundred twenty-seven million, one hundred thirty-six thousand, seven hundred forty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 169 231 273 429 507 1001 1183 1859 3003 3549 5577 13013 39039 805019 2415057 5635133 8855209 10465247 16905399 26565627 31395741 61986463 73256729 115117717 136048211 185959389 219770187 345353151 408144633 805824019 952337477 1496530321 2417472057 2857012431 4489590963 10475712247 31427136741