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148236420465 = 3457314633643
BaseRepresentation
bin1000101000001110010…
…1000100010101110001
3112011121211222101120000
42022003211010111301
54412042010423330
6152033204540213
713465302532650
oct2120345042561
9464554871500
10148236420465
115795965a801
12248900b1669
1310c950a1883
147263479197
153cc8d6c560
hex2283944571

148236420465 has 160 divisors (see below), whose sum is σ = 314248298496. Its totient is φ = 65419643520.

The previous prime is 148236420439. The next prime is 148236420469. The reversal of 148236420465 is 564024632841.

148236420465 is a `hidden beast` number, since 1 + 4 + 82 + 364 + 204 + 6 + 5 = 666.

It is not a de Polignac number, because 148236420465 - 213 = 148236412273 is a prime.

It is a super-4 number, since 4×1482364204654 (a number of 46 digits) contains 4444 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 148236420465.

It is not an unprimeable number, because it can be changed into a prime (148236420469) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40688934 + ... + 40692576.

Almost surely, 2148236420465 is an apocalyptic number.

148236420465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

148236420465 is an abundant number, since it is smaller than the sum of its proper divisors (166011878031).

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

148236420465 is a wasteful number, since it uses less digits than its factorization.

148236420465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161 (or 4152 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 148236420465 in words is "one hundred forty-eight billion, two hundred thirty-six million, four hundred twenty thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 31 35 45 63 81 93 105 135 155 189 217 279 315 405 463 465 567 651 837 945 1085 1389 1395 1953 2315 2511 2835 3241 3255 3643 4167 4185 5859 6945 9723 9765 10929 12501 12555 14353 16205 17577 18215 20835 25501 29169 29295 32787 37503 43059 48615 54645 62505 71765 76503 87507 87885 98361 100471 112933 127505 129177 145845 163935 187515 215295 229509 262521 295083 301413 338799 382515 387531 437535 491805 502355 564665 645885 688527 790531 904239 1016397 1147545 1162593 1312605 1475415 1507065 1686709 1693995 1937655 2065581 2371593 2712717 3049191 3442635 3952655 4521195 5060127 5081985 5812965 7114779 8138151 8433545 9147573 10327905 11806963 11857965 13563585 15180381 15245955 21344337 25300635 35420889 35573895 40690755 45541143 45737865 52287979 59034815 64033011 75901905 106262667 106721685 136623429 156863937 177104445 227705715 261439895 318788001 320165055 366015853 470591811 531313335 683117145 784319685 956364003 1098047559 1411775433 1593940005 1830079265 2352959055 3294142677 4235326299 4781820015 5490237795 7058877165 9882428031 16470713385 21176631495 29647284093 49412140155 148236420465