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31402124214344 = 2313736536334169
BaseRepresentation
bin1110010001111011000000…
…11101011000000001001000
311010012000101000202211020022
413020331200131120001020
513103443022244324334
6150441534155120012
76420504624514052
oct710754035300110
9133160330684208
1031402124214344
11a007625515a94
123631b37a43008
13146a291161690
147a7c29b468d2
15396c9468582e
hex1c8f60758048

31402124214344 has 64 divisors (see below), whose sum is σ = 64375183177200. Its totient is φ = 14272856764416.

The previous prime is 31402124214343. The next prime is 31402124214347. The reversal of 31402124214344 is 44341242120413.

It can be written as a sum of positive squares in 8 ways, for example, as 16601468760100 + 14800655454244 = 4074490^2 + 3847162^2 .

It is not an unprimeable number, because it can be changed into a prime (31402124214343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1790492 + ... + 8124660.

Almost surely, 231402124214344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31402124214344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32187591588600).

31402124214344 is an abundant number, since it is smaller than the sum of its proper divisors (32973058962856).

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

31402124214344 is a wasteful number, since it uses less digits than its factorization.

31402124214344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6334914 (or 6334910 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 31402124214344 its reverse (44341242120413), we get a palindrome (75743366334757).

The spelling of 31402124214344 in words is "thirty-one trillion, four hundred two billion, one hundred twenty-four million, two hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 52 73 104 146 292 584 653 949 1306 1898 2612 3796 5224 7592 8489 16978 33956 47669 67912 95338 190676 381352 619697 1239394 2478788 4957576 6334169 12668338 25336676 50673352 82344197 164688394 329376788 462394337 658753576 924788674 1849577348 3699154696 4136212357 6011126381 8272424714 12022252762 16544849428 24044505524 33089698856 48089011048 53770760641 107541521282 215083042564 301943502061 430166085128 603887004122 1207774008244 2415548016488 3925265526793 7850531053586 15701062107172 31402124214344