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31444533544413 = 31121731631610981
BaseRepresentation
bin1110010011001010000000…
…10000001000010111011101
311010100001211121102000020210
413021211000100020113131
513110141401041410123
6150513230322203033
76423535566050553
oct711450020102735
9133301747360223
1031444533544413
11a023608479400
12363a1b27b3479
13147128c418522
147a9cd02c1bd3
15397e27937e93
hex1c99404085dd

31444533544413 has 48 divisors (see below), whose sum is σ = 48810280131648. Its totient is φ = 17930594035200.

The previous prime is 31444533544399. The next prime is 31444533544429.

31444533544413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31444533544413 - 232 = 31440238577117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31444533544913) 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, 18713383 + ... + 20324363.

It is an arithmetic number, because the mean of its divisors is an integer number (1016880836076).

Almost surely, 231444533544413 is an apocalyptic number.

31444533544413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31444533544413 is a deficient number, since it is larger than the sum of its proper divisors (17365746587235).

31444533544413 is a wasteful number, since it uses less digits than its factorization.

31444533544413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614186 (or 1614175 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 48.

It can be divided in two parts, 3144453 and 3544413, that added together give a palindrome (6688866).

The spelling of 31444533544413 in words is "thirty-one trillion, four hundred forty-four billion, five hundred thirty-three million, five hundred forty-four thousand, four hundred thirteen".

Divisors: 1 3 11 17 33 51 121 187 363 561 2057 3163 6171 9489 34793 53771 104379 161313 382723 591481 1148169 1610981 1774443 4832943 6506291 17720791 19518873 27386677 53162373 82160031 194928701 301253447 584786103 903760341 3313787917 5095532903 9941363751 15286598709 56050861933 86624059351 168152585799 259872178053 616559481263 952864652861 1849678443789 2858593958583 10481511181471 31444533544413