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31214300442 = 231319157913339
BaseRepresentation
bin11101000100100001…
…000110110100011010
32222120101012202102120
4131010201012310122
51002411330103232
622201210442110
72153343114243
oct350441066432
988511182376
1031214300442
1112268727a16
126071733336
132c35b25680
14172181bcca
15c2a53b92c
hex744846d1a

31214300442 has 64 divisors (see below), whose sum is σ = 70819392000. Its totient is φ = 9092461248.

The previous prime is 31214300407. The next prime is 31214300443. The reversal of 31214300442 is 24400341213.

It is not an unprimeable number, because it can be changed into a prime (31214300443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2333409 + ... + 2346747.

It is an arithmetic number, because the mean of its divisors is an integer number (1106553000).

Almost surely, 231214300442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31214300442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35409696000).

31214300442 is an abundant number, since it is smaller than the sum of its proper divisors (39605091558).

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

31214300442 is a wasteful number, since it uses less digits than its factorization.

31214300442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14955.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 31214300442 its reverse (24400341213), we get a palindrome (55614641655).

The spelling of 31214300442 in words is "thirty-one billion, two hundred fourteen million, three hundred thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 1482 1579 3158 4737 9474 13339 20527 26678 30001 40017 41054 60002 61581 80034 90003 123162 173407 180006 253441 346814 390013 506882 520221 760323 780026 1040442 1170039 1520646 2340078 3294733 6589466 9884199 19768398 21062281 42124562 63186843 126373686 273809653 400183339 547619306 800366678 821428959 1200550017 1642857918 2401100034 5202383407 10404766814 15607150221 31214300442