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148340574720 = 293551321783
BaseRepresentation
bin1000101000100111001…
…0011000101000000000
3112011220002221222100000
42022021302120220000
54412300141342340
6152051405200000
713501006036452
oct2121162305000
9464802858300
10148340574720
1157a024293a8
12248bab60000
1310cb083b200
14727322c2d2
153cd3092d30
hex2289c98a00

148340574720 has 1440 divisors, whose sum is σ = 618203057472. Its totient is φ = 33952628736.

The previous prime is 148340574713. The next prime is 148340574731. The reversal of 148340574720 is 27475043841.

148340574720 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 4 + 0 + 574 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×1483405747202 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1787235799 + ... + 1787235881.

Almost surely, 2148340574720 is an apocalyptic number.

148340574720 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 148340574720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309101528736).

148340574720 is an abundant number, since it is smaller than the sum of its proper divisors (469862482752).

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

148340574720 is an equidigital number, since it uses as much as digits as its factorization.

148340574720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 148340574720 in words is "one hundred forty-eight billion, three hundred forty million, five hundred seventy-four thousand, seven hundred twenty".