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148196114640 = 243257227129533
BaseRepresentation
bin1000101000000100101…
…1010100000011010000
3112011112001010122100200
42022001023110003100
54412001201132030
6152025205015200
713464303122160
oct2120113240320
9464461118320
10148196114640
1157938930402
122487a6b4500
1310c8992ba82
14725bd865a0
153cc5559d60
hex22812d40d0

148196114640 has 240 divisors, whose sum is σ = 571300898688. Its totient is φ = 33723915264.

The previous prime is 148196114639. The next prime is 148196114641. The reversal of 148196114640 is 46411691841.

148196114640 is a `hidden beast` number, since 1 + 481 + 96 + 1 + 1 + 46 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (148196114639) and next prime (148196114641).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148196114641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1079314 + ... + 1208846.

Almost surely, 2148196114640 is an apocalyptic number.

148196114640 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 148196114640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285650449344).

148196114640 is an abundant number, since it is smaller than the sum of its proper divisors (423104784048).

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

148196114640 is a wasteful number, since it uses less digits than its factorization.

148196114640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129786 (or 129777 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 148196114640 in words is "one hundred forty-eight billion, one hundred ninety-six million, one hundred fourteen thousand, six hundred forty".