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144757037124 = 223271056754361
BaseRepresentation
bin1000011011010000110…
…0010001100001000100
3111211122100220101220100
42012310030101201010
54332430300141444
6150300033404100
713313133341130
oct2066414214104
9454570811810
10144757037124
1156433634587
122407aa09630
131085c2a326b
1470133263c0
153b73683e69
hex21b4311844

144757037124 has 72 divisors (see below), whose sum is σ = 418234264448. Its totient is φ = 41354478720.

The previous prime is 144757037063. The next prime is 144757037143. The reversal of 144757037124 is 421730757441.

144757037124 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 570 + 3 + 71 + 2 + 4 = 666.

It is a super-2 number, since 2×1447570371242 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144757037124.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2635704 + ... + 2690064.

Almost surely, 2144757037124 is an apocalyptic number.

144757037124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144757037124 is an abundant number, since it is smaller than the sum of its proper divisors (273477227324).

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

144757037124 is a wasteful number, since it uses less digits than its factorization.

144757037124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64945 (or 64940 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 144757037124 in words is "one hundred forty-four billion, seven hundred fifty-seven million, thirty-seven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 10567 21134 31701 42268 54361 63402 73969 95103 108722 126804 147938 163083 190206 217444 221907 295876 326166 380412 380527 443814 489249 652332 665721 761054 887628 978498 1141581 1331442 1522108 1956996 2283162 2662884 3424743 4566324 6849486 13698972 574432687 1148865374 1723298061 2297730748 3446596122 4021028809 5169894183 6893192244 8042057618 10339788366 12063086427 16084115236 20679576732 24126172854 36189259281 48252345708 72378518562 144757037124