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30332797440 = 2935112367233
BaseRepresentation
bin11100001111111110…
…011100001000000000
32220021221111202122020
4130033332130020000
5444110144004230
621533521041440
72122450344531
oct341776341000
986257452566
1030332797440
1111956089740
125a66486280
132b2530726a
14167a718688
15bc7e65810
hex70ff9c200

30332797440 has 640 divisors, whose sum is σ = 112513370112. Its totient is φ = 6898974720.

The previous prime is 30332797433. The next prime is 30332797483. The reversal of 30332797440 is 4479723303.

It is a tau number, because it is divible by the number of its divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 30332797392 and 30332797401.

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, 130183564 + ... + 130183796.

Almost surely, 230332797440 is an apocalyptic number.

30332797440 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 30332797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56256685056).

30332797440 is an abundant number, since it is smaller than the sum of its proper divisors (82180572672).

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

30332797440 is a wasteful number, since it uses less digits than its factorization.

30332797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 42.

The spelling of 30332797440 in words is "thirty billion, three hundred thirty-two million, seven hundred ninety-seven thousand, four hundred forty".