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110155940070400 = 210527293712
BaseRepresentation
bin11001000010111110101101…
…101011011000010000000000
3112110000210201212022010201001
4121002332231223120100000
5103414243331124223100
61030140535032421344
732126334612324400
oct3102765553302000
9473023655263631
10110155940070400
113210a965457134
1210430b61547854
134960878395773
141d2b80c580800
15cb061ea3cd6a
hex642fadad8400

110155940070400 has 297 divisors, whose sum is σ = 317667375446637. Its totient is φ = 37763720601600.

The previous prime is 110155940070373. The next prime is 110155940070409. The reversal of 110155940070400 is 4070049551011.

The square root of 110155940070400 is 10495520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 39656138425344 + 70499801645056 = 6297312^2 + 8396416^2 .

It is a super-3 number, since 3×1101559400704003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 110155940070400.

It is not an unprimeable number, because it can be changed into a prime (110155940070409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11754977715 + ... + 11754987085.

Almost surely, 2110155940070400 is an apocalyptic number.

110155940070400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110155940070400 is the 10495520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110155940070400

110155940070400 is an abundant number, since it is smaller than the sum of its proper divisors (207511435376237).

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

110155940070400 is an frugal number, since it uses more digits than its factorization.

110155940070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18786 (or 9385 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 37.

The spelling of 110155940070400 in words is "one hundred ten trillion, one hundred fifty-five billion, nine hundred forty million, seventy thousand, four hundred".