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70420134400 = 2952721159173
BaseRepresentation
bin100000110010101011…
…1011111101000000000
320201202200220110220221
41001211113133220000
52123210023300100
652203415512424
75042035160200
oct1014527375000
9221680813827
1070420134400
112795736a290
1211793688714
1368434b85a5
1435a073c400
151c7245001a
hex10655dfa00

70420134400 has 720 divisors, whose sum is σ = 226461264480. Its totient is φ = 21452390400.

The previous prime is 70420134377. The next prime is 70420134419. The reversal of 70420134400 is 443102407.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 407052714 + ... + 407052886.

It is an arithmetic number, because the mean of its divisors is an integer number (314529534).

Almost surely, 270420134400 is an apocalyptic number.

70420134400 is a gapful number since it is divisible by the number (70) 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 70420134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113230632240).

70420134400 is an abundant number, since it is smaller than the sum of its proper divisors (156041130080).

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

70420134400 is a wasteful number, since it uses less digits than its factorization.

70420134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

Adding to 70420134400 its reverse (443102407), we get a palindrome (70863236807).

The spelling of 70420134400 in words is "seventy billion, four hundred twenty million, one hundred thirty-four thousand, four hundred".