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141414518700 = 223252713317601
BaseRepresentation
bin1000001110110011110…
…1100100111110101100
3111112000102100212121200
42003230331210332230
54304104104044300
6144544231525500
713134245401350
oct2035475447654
9445012325550
10141414518700
1154a78899a64
12234a7529890
1310448955000
146bb743d460
153a29ed3200
hex20ecf64fac

141414518700 has 864 divisors, whose sum is σ = 582021498240. Its totient is φ = 28035072000.

The previous prime is 141414518689. The next prime is 141414518711. The reversal of 141414518700 is 7815414141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (141414518689) and next prime (141414518711).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 235298400 + ... + 235299000.

Almost surely, 2141414518700 is an apocalyptic number.

141414518700 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 141414518700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291010749120).

141414518700 is an abundant number, since it is smaller than the sum of its proper divisors (440606979540).

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

141414518700 is a wasteful number, since it uses less digits than its factorization.

141414518700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 141414518700 in words is "one hundred forty-one billion, four hundred fourteen million, five hundred eighteen thousand, seven hundred".