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148016295840 = 25357192122029
BaseRepresentation
bin1000100111011001110…
…1010110111110100000
3112011001111202220100010
42021312131112332200
54411114132431330
6151555302524520
713456660520130
oct2116635267640
9464044686303
10148016295840
1157856381926
122482a436740
1310c5b5bc50a
147242138ac0
153cb488a3b0
hex2276756fa0

148016295840 has 288 divisors, whose sum is σ = 562384529280. Its totient is φ = 32051386368.

The previous prime is 148016295839. The next prime is 148016295853. The reversal of 148016295840 is 48592610841.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 148016295840.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1151946 + ... + 1273974.

It is an arithmetic number, because the mean of its divisors is an integer number (1952724060).

Almost surely, 2148016295840 is an apocalyptic number.

148016295840 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 148016295840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281192264640).

148016295840 is an abundant number, since it is smaller than the sum of its proper divisors (414368233440).

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

148016295840 is a wasteful number, since it uses less digits than its factorization.

148016295840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122092 (or 122065 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 148016295840 in words is "one hundred forty-eight billion, sixteen million, two hundred ninety-five thousand, eight hundred forty".