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42476855541120 = 273257211132731109
BaseRepresentation
bin10011010100001111010011…
…11000101011110110000000
312120101202012002121020121100
421222013221320223312000
521031420100004303440
6230201333102254400
711642565035550600
oct1152075170536600
9176352162536540
1042476855541120
1112597373646890
124920370b87400
131a9171ccaba00
14a6bc68418c00
154d9dc19d5230
hex26a1e9e2bd80

42476855541120 has 3456 divisors, whose sum is σ = 204501582511200. Its totient is φ = 8028554526720.

The previous prime is 42476855541037. The next prime is 42476855541157. The reversal of 42476855541120 is 2114555867424.

42476855541120 is a `hidden beast` number, since 4 + 2 + 4 + 7 + 6 + 85 + 5 + 541 + 12 + 0 = 666.

It is a super-2 number, since 2×424768555411202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 38301943126 + ... + 38301944234.

Almost surely, 242476855541120 is an apocalyptic number.

42476855541120 is a gapful number since it is divisible by the number (40) 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 42476855541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102250791255600).

42476855541120 is an abundant number, since it is smaller than the sum of its proper divisors (162024726970080).

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

42476855541120 is a wasteful number, since it uses less digits than its factorization.

42476855541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 42476855541120 in words is "forty-two trillion, four hundred seventy-six billion, eight hundred fifty-five million, five hundred forty-one thousand, one hundred twenty".