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20241573251040 = 2532531453440261
BaseRepresentation
bin1001001101000110110111…
…10010001000011111100000
32122200002001001011011100200
410212203123302020133200
510123114220223013130
6111014503403145200
74156256024541261
oct446433362103740
978602031134320
1020241573251040
1164a4448449049
12232ab51b15200
13b3aa065b3c2b
144dd9a983a968
152517e2eaa760
hex1268dbc887e0

20241573251040 has 144 divisors (see below), whose sum is σ = 71302574318976. Its totient is φ = 5223631795200.

The previous prime is 20241573251023. The next prime is 20241573251069. The reversal of 20241573251040 is 4015237514202.

20241573251040 is a `hidden beast` number, since 2 + 0 + 2 + 41 + 573 + 2 + 5 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×202415732510402 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20241573250986 and 20241573251004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226675491 + ... + 226764770.

It is an arithmetic number, because the mean of its divisors is an integer number (495156766104).

Almost surely, 220241573251040 is an apocalyptic number.

20241573251040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20241573251040 is an abundant number, since it is smaller than the sum of its proper divisors (51061001067936).

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

20241573251040 is a wasteful number, since it uses less digits than its factorization.

20241573251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453440313 (or 453440302 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 20241573251040 in words is "twenty trillion, two hundred forty-one billion, five hundred seventy-three million, two hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1860 2232 2480 2790 2976 3720 4464 4960 5580 7440 8928 11160 14880 22320 44640 453440261 906880522 1360320783 1813761044 2267201305 2720641566 3627522088 4080962349 4534402610 5441283132 6801603915 7255044176 8161924698 9068805220 10882566264 13603207830 14056648091 14510088352 16323849396 18137610440 20404811745 21765132528 27206415660 28113296182 32647698792 36275220880 40809623490 42169944273 43530265056 54412831320 56226592364 65295397584 70283240455 72550441760 81619246980 84339888546 108825662640 112453184728 126509832819 130590795168 140566480910 163238493960 168679777092 210849721365 217651325280 224906369456 253019665638 281132961820 326476987920 337359554184 421699442730 449812738912 506039331276 562265923640 632549164095 652953975840 674719108368 843398885460 1012078662552 1124531847280 1265098328190 1349438216736 1686797770920 2024157325104 2249063694560 2530196656380 3373595541840 4048314650208 5060393312760 6747191083680 10120786625520 20241573251040