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148306114944 = 2733132318191
BaseRepresentation
bin1000101000011110111…
…0111011100110000000
3112011210201010020102000
42022013232323212000
54412212331134234
6152044134424000
713500110114601
oct2120756734600
9464721106360
10148306114944
1157994a32249
12248ab502000
1310ca6664300
14726c81bda8
153cd0037899
hex2287bbb980

148306114944 has 384 divisors, whose sum is σ = 489317990400. Its totient is φ = 44155238400.

The previous prime is 148306114933. The next prime is 148306114951. The reversal of 148306114944 is 449411603841.

148306114944 is a `hidden beast` number, since 148 + 3 + 0 + 6 + 11 + 494 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 148306114944.

It is a congruent number.

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, 18101889 + ... + 18110079.

It is an arithmetic number, because the mean of its divisors is an integer number (1274265600).

Almost surely, 2148306114944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148306114944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244658995200).

148306114944 is an abundant number, since it is smaller than the sum of its proper divisors (341011875456).

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

148306114944 is a wasteful number, since it uses less digits than its factorization.

148306114944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8271 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 148306114944 in words is "one hundred forty-eight billion, three hundred six million, one hundred fourteen thousand, nine hundred forty-four".