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31420397352960 = 211375721119137
BaseRepresentation
bin1110010010011101000011…
…00111110111100000000000
311010020202112111220110000000
413021032201213313200000
513104242433210243320
6150454155320000000
76422022510601500
oct711164147674000
9133222474813000
1031420397352960
11a0143521a5540
123635597600000
13146bc13b46535
147a8a80953a00
153974b39e3c90
hex1c93a19f7800

31420397352960 has 4608 divisors, whose sum is σ = 152140270464000. Its totient is φ = 6140138618880.

The previous prime is 31420397352919. The next prime is 31420397352961. The reversal of 31420397352960 is 6925379302413.

31420397352960 is a `hidden beast` number, since 3 + 1 + 4 + 20 + 3 + 97 + 3 + 529 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 31420397352897 and 31420397352906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31420397352961) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 229345966012 + ... + 229345966148.

It is an arithmetic number, because the mean of its divisors is an integer number (33016551750).

Almost surely, 231420397352960 is an apocalyptic number.

31420397352960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31420397352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76070135232000).

31420397352960 is an abundant number, since it is smaller than the sum of its proper divisors (120719873111040).

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

31420397352960 is a wasteful number, since it uses less digits than its factorization.

31420397352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 31420397352960 in words is "thirty-one trillion, four hundred twenty billion, three hundred ninety-seven million, three hundred fifty-two thousand, nine hundred sixty".