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148001486940 = 223251748366499
BaseRepresentation
bin1000100111010110010…
…0110111100001011100
3112011000110220112100100
42021311210313201130
54411101340040230
6151554013301100
713456420611366
oct2116544674134
9464013815310
10148001486940
1157848a8776a
1224825494790
1310c58505b58
1472401a1d36
153cb3412660
hex227593785c

148001486940 has 72 divisors (see below), whose sum is σ = 475345962000. Its totient is φ = 37145470464.

The previous prime is 148001486887. The next prime is 148001486947. The reversal of 148001486940 is 49684100841.

148001486940 is a `hidden beast` number, since 1 + 4 + 80 + 0 + 1 + 486 + 94 + 0 = 666.

148001486940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (148001486947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24180190 + ... + 24186309.

It is an arithmetic number, because the mean of its divisors is an integer number (6602027250).

Almost surely, 2148001486940 is an apocalyptic number.

148001486940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148001486940 is an abundant number, since it is smaller than the sum of its proper divisors (327344475060).

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

148001486940 is a wasteful number, since it uses less digits than its factorization.

148001486940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48366531 (or 48366526 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 148001486940 in words is "one hundred forty-eight billion, one million, four hundred eighty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 48366499 96732998 145099497 193465996 241832495 290198994 435298491 483664990 580397988 725497485 822230483 870596982 967329980 1450994970 1644460966 1741193964 2176492455 2466691449 2901989940 3288921932 4111152415 4352984910 4933382898 7400074347 8222304830 8705969820 9866765796 12333457245 14800148694 16444609660 24666914490 29600297388 37000371735 49333828980 74000743470 148001486940