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148287523140 = 22325823819573
BaseRepresentation
bin1000101000011010100…
…0000000100101000100
3112011202102010200020200
42022012220000211010
54412143101220030
6152042232130500
713466463102231
oct2120650004504
9464672120220
10148287523140
1157985493a19
12248a5236a30
1310ca2854b43
14726a17c788
153ccd5b3d60
hex2286a00944

148287523140 has 36 divisors (see below), whose sum is σ = 449805487404. Its totient is φ = 39543339456.

The previous prime is 148287523081. The next prime is 148287523141. The reversal of 148287523140 is 41325782841.

148287523140 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 87 + 523 + 1 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15750752004 + 132536771136 = 125502^2 + 364056^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1482875231403 (a number of 34 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (148287523141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 411909607 + ... + 411909966.

Almost surely, 2148287523140 is an apocalyptic number.

148287523140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148287523140 is an abundant number, since it is smaller than the sum of its proper divisors (301517964264).

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

148287523140 is a wasteful number, since it uses less digits than its factorization.

148287523140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823819588 (or 823819583 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 148287523140 in words is "one hundred forty-eight billion, two hundred eighty-seven million, five hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 823819573 1647639146 2471458719 3295278292 4119097865 4942917438 7414376157 8238195730 9885834876 12357293595 14828752314 16476391460 24714587190 29657504628 37071880785 49429174380 74143761570 148287523140