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13232312940 = 22357114169857
BaseRepresentation
bin11000101001011010…
…10001001001101100
31021011011221010220110
430110231101021230
5204044433003230
610025010220020
7645623542560
oct142455211154
937134833813
1013232312940
115680328620
122693584610
13132b560992
148d755d6a0
15526a404b0
hex314b5126c

13232312940 has 192 divisors, whose sum is σ = 47320132608. Its totient is φ = 2682470400.

The previous prime is 13232312939. The next prime is 13232312941. The reversal of 13232312940 is 4921323231.

It is an interprime number because it is at equal distance from previous prime (13232312939) and next prime (13232312941).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13232312898 and 13232312907.

It is not an unprimeable number, because it can be changed into a prime (13232312941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154492 + ... + 224348.

It is an arithmetic number, because the mean of its divisors is an integer number (246459024).

Almost surely, 213232312940 is an apocalyptic number.

13232312940 is a gapful number since it is divisible by the number (10) 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 13232312940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23660066304).

13232312940 is an abundant number, since it is smaller than the sum of its proper divisors (34087819668).

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

13232312940 is a wasteful number, since it uses less digits than its factorization.

13232312940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69928 (or 69926 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 13232312940 in words is "thirteen billion, two hundred thirty-two million, three hundred twelve thousand, nine hundred forty".