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1014670552140 = 22355757751691
BaseRepresentation
bin11101100001111110001…
…00111110110001001100
310121000001010122200200000
432300333010332301030
5113111021130132030
62054044435204300
7133210324250040
oct16607704766114
93530033580600
101014670552140
1136135708a953
12144797146690
13748b57a621b
14371789d0020
151b5d96a1860
hexec3f13ec4c

1014670552140 has 288 divisors, whose sum is σ = 3654195976704. Its totient is φ = 231518269440.

The previous prime is 1014670552099. The next prime is 1014670552151. The reversal of 1014670552140 is 412550764101.

1014670552140 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 67 + 0 + 552 + 1 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1014670552095 and 1014670552104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19603695 + ... + 19655385.

Almost surely, 21014670552140 is an apocalyptic number.

1014670552140 is a gapful number since it is divisible by the number (10) 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 1014670552140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827097988352).

1014670552140 is an abundant number, since it is smaller than the sum of its proper divisors (2639525424564).

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

1014670552140 is a wasteful number, since it uses less digits than its factorization.

1014670552140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52299 (or 52285 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 1014670552140 in words is "one trillion, fourteen billion, six hundred seventy million, five hundred fifty-two thousand, one hundred forty".