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4269012314112 = 211327213599607
BaseRepresentation
bin111110000111110100111…
…101100110100000000000
3120010010001210211011222100
4332013310331212200000
51024420414123022422
613025053541310400
7620266050644100
oct76076475464000
916103053734870
104269012314112
1113a6529181907
1258b443705400
1324c748a47020
1410a89abb3200
15760a7e927ac
hex3e1f4f66800

4269012314112 has 864 divisors, whose sum is σ = 15497262144000. Its totient is φ = 1122161983488.

The previous prime is 4269012314059. The next prime is 4269012314117. The reversal of 4269012314112 is 2114132109624.

4269012314112 is a `hidden beast` number, since 4 + 2 + 6 + 9 + 0 + 1 + 231 + 411 + 2 = 666.

It is a super-2 number, since 2×42690123141122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4269012314117) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7032968913 + ... + 7032969519.

It is an arithmetic number, because the mean of its divisors is an integer number (17936646000).

Almost surely, 24269012314112 is an apocalyptic number.

4269012314112 is a gapful number since it is divisible by the number (42) 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 4269012314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7748631072000).

4269012314112 is an abundant number, since it is smaller than the sum of its proper divisors (11228249829888).

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

4269012314112 is a wasteful number, since it uses less digits than its factorization.

4269012314112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 4269012314112 in words is "four trillion, two hundred sixty-nine billion, twelve million, three hundred fourteen thousand, one hundred twelve".