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148144102272 = 27323747731013
BaseRepresentation
bin1000100111111000010…
…0111001101110000000
3112011101102021010210200
42021332010321232000
54411344342233042
6152020110125200
713463102043465
oct2117604715600
9464342233720
10148144102272
1157911535781
12248651b0800
1310c7bc1a71a
1472550c766c
153cc0bd3c4c
hex227e139b80

148144102272 has 384 divisors, whose sum is σ = 453709676160. Its totient is φ = 46334509056.

The previous prime is 148144102237. The next prime is 148144102289. The reversal of 148144102272 is 272201441841.

It is a happy number.

148144102272 is a `hidden beast` number, since 1 + 4 + 8 + 14 + 410 + 227 + 2 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146242438 + ... + 146243450.

It is an arithmetic number, because the mean of its divisors is an integer number (1181535615).

Almost surely, 2148144102272 is an apocalyptic number.

148144102272 is a gapful number since it is divisible by the number (12) 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 148144102272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226854838080).

148144102272 is an abundant number, since it is smaller than the sum of its proper divisors (305565573888).

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

148144102272 is a wasteful number, since it uses less digits than its factorization.

148144102272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 148144102272 in words is "one hundred forty-eight billion, one hundred forty-four million, one hundred two thousand, two hundred seventy-two".