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31014402131400 = 2335251690670219
BaseRepresentation
bin1110000110101000110100…
…11011000000010111001000
311001210221121000021021010020
413003110122123000113020
513031114443421201100
6145543453013220440
76350500540263432
oct703243233002710
9131727530237106
1031014402131400
119978152506486
12358a970631720
13143c85142341c
14793168467652
1538bb50b085a0
hex1c351a6c05c8

31014402131400 has 48 divisors (see below), whose sum is σ = 96144646609200. Its totient is φ = 8270507234880.

The previous prime is 31014402131387. The next prime is 31014402131413. The reversal of 31014402131400 is 413120441013.

It is an interprime number because it is at equal distance from previous prime (31014402131387) and next prime (31014402131413).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 11 ways as a sum of consecutive naturals, for example, 25845334510 + ... + 25845335709.

It is an arithmetic number, because the mean of its divisors is an integer number (2003013471025).

Almost surely, 231014402131400 is an apocalyptic number.

31014402131400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31014402131400 is an abundant number, since it is smaller than the sum of its proper divisors (65130244477800).

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

31014402131400 is a wasteful number, since it uses less digits than its factorization.

31014402131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51690670238 (or 51690670229 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 31014402131400 its reverse (413120441013), we get a palindrome (31427522572413).

The spelling of 31014402131400 in words is "thirty-one trillion, fourteen billion, four hundred two million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 51690670219 103381340438 155072010657 206762680876 258453351095 310144021314 413525361752 516906702190 620288042628 775360053285 1033813404380 1240576085256 1292266755475 1550720106570 2067626808760 2584533510950 3101440213140 3876800266425 5169067021900 6202880426280 7753600532850 10338134043800 15507201065700 31014402131400