Search a number
-
+
2132435425120 = 2557111331429497
BaseRepresentation
bin11111000001111111000…
…011100101011101100000
321112212012002110111210021
4133001333003211131200
5234414211432100440
64311343255443224
7310030511021140
oct37017703453540
97485162414707
102132435425120
117523a7228950
122a5344386514
1312611ab78c50
14752d359a920
153a709a6384a
hex1f07f0e5760

2132435425120 has 384 divisors, whose sum is σ = 6982359293952. Its totient is φ = 593735270400.

The previous prime is 2132435425103. The next prime is 2132435425163. The reversal of 2132435425120 is 215245342312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4750212 + ... + 5179708.

It is an arithmetic number, because the mean of its divisors is an integer number (18183227328).

Almost surely, 22132435425120 is an apocalyptic number.

2132435425120 is a gapful number since it is divisible by the number (20) 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 2132435425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491179646976).

2132435425120 is an abundant number, since it is smaller than the sum of its proper divisors (4849923868832).

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

2132435425120 is a wasteful number, since it uses less digits than its factorization.

2132435425120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429574 (or 429566 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 2132435425120 in words is "two trillion, one hundred thirty-two billion, four hundred thirty-five million, four hundred twenty-five thousand, one hundred twenty".