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31420341112032 = 25321071019611277
BaseRepresentation
bin1110010010011100111100…
…10001010100110011100000
311010020202101121002002221200
413021032132101110303200
513104242324311041112
6150454145550321200
76422021225551665
oct711163621246340
9133222347062850
1031420341112032
11a014323481934
1236355807b9200
13146bc052b4592
147a8a772b3a6c
153974adad4cdc
hex1c939e454ce0

31420341112032 has 72 divisors (see below), whose sum is σ = 90186656761656. Its totient is φ = 10375564344576.

The previous prime is 31420341112007. The next prime is 31420341112049. The reversal of 31420341112032 is 23021114302413.

31420341112032 is a `hidden beast` number, since 3 + 1 + 4 + 203 + 411 + 12 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 31420341111987 and 31420341112005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 509774823 + ... + 509836454.

It is an arithmetic number, because the mean of its divisors is an integer number (1252592455023).

Almost surely, 231420341112032 is an apocalyptic number.

31420341112032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31420341112032 is an abundant number, since it is smaller than the sum of its proper divisors (58766315649624).

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

31420341112032 is a wasteful number, since it uses less digits than its factorization.

31420341112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019611400 (or 1019611389 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 31420341112032 its reverse (23021114302413), we get a palindrome (54441455414445).

The spelling of 31420341112032 in words is "thirty-one trillion, four hundred twenty billion, three hundred forty-one million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 428 642 856 963 1284 1712 1926 2568 3424 3852 5136 7704 10272 15408 30816 1019611277 2039222554 3058833831 4078445108 6117667662 8156890216 9176501493 12235335324 16313780432 18353002986 24470670648 32627560864 36706005972 48941341296 73412011944 97882682592 109098406639 146824023888 218196813278 293648047776 327295219917 436393626556 654590439834 872787253112 981885659751 1309180879668 1745574506224 1963771319502 2618361759336 3491149012448 3927542639004 5236723518672 7855085278008 10473447037344 15710170556016 31420341112032