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31411341144 = 2332436268627
BaseRepresentation
bin11101010000010000…
…110000011101011000
310000002002222110110100
4131100100300131120
51003312300404034
622232530015400
72161254665031
oct352020603530
9100062873410
1031411341144
1112359979577
126107717560
132c678b49c1
14173da6da88
15c3c9ae099
hex750430758

31411341144 has 24 divisors (see below), whose sum is σ = 85072382460. Its totient is φ = 10470447024.

The previous prime is 31411341107. The next prime is 31411341149. The reversal of 31411341144 is 44114311413.

31411341144 is a `hidden beast` number, since 314 + 1 + 1 + 341 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31411341149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 218134242 + ... + 218134385.

Almost surely, 231411341144 is an apocalyptic number.

It is an amenable number.

31411341144 is an abundant number, since it is smaller than the sum of its proper divisors (53661041316).

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

31411341144 is a wasteful number, since it uses less digits than its factorization.

31411341144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436268639 (or 436268632 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 31411341144 its reverse (44114311413), we get a palindrome (75525652557).

The spelling of 31411341144 in words is "thirty-one billion, four hundred eleven million, three hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 436268627 872537254 1308805881 1745074508 2617611762 3490149016 3926417643 5235223524 7852835286 10470447048 15705670572 31411341144