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631861087440 = 243511298253149
BaseRepresentation
bin10010011000111011101…
…10110000110011010000
32020101221111002222212210
421030131312300303100
540323022414244230
61202134543552120
763436051424532
oct11143566606320
92211844088783
10631861087440
11223a75125120
12a2560bbb640
134777978057b
1422821947852
1511682069eb0
hex931ddb0cd0

631861087440 has 160 divisors (see below), whose sum is σ = 2210523696000. Its totient is φ = 147896412160.

The previous prime is 631861087423. The next prime is 631861087453. The reversal of 631861087440 is 44780168136.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 631861087440.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4050015 + ... + 4203134.

It is an arithmetic number, because the mean of its divisors is an integer number (13815773100).

Almost surely, 2631861087440 is an apocalyptic number.

631861087440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

631861087440 is an abundant number, since it is smaller than the sum of its proper divisors (1578662608560).

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

631861087440 is a wasteful number, since it uses less digits than its factorization.

631861087440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8253205 (or 8253199 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 631861087440 in words is "six hundred thirty-one billion, eight hundred sixty-one million, eighty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 33 40 44 48 55 58 60 66 80 87 88 110 116 120 132 145 165 174 176 220 232 240 264 290 319 330 348 435 440 464 528 580 638 660 696 870 880 957 1160 1276 1320 1392 1595 1740 1914 2320 2552 2640 3190 3480 3828 4785 5104 6380 6960 7656 9570 12760 15312 19140 25520 38280 76560 8253149 16506298 24759447 33012596 41265745 49518894 66025192 82531490 90784639 99037788 123797235 132050384 165062980 181569278 198075576 239341321 247594470 272353917 330125960 363138556 396151152 453923195 478682642 495188940 544707834 660251920 718023963 726277112 907846390 957365284 990377880 1089415668 1196706605 1361769585 1436047926 1452554224 1815692780 1914730568 1980755760 2178831336 2393413210 2632754531 2723539170 2872095852 3590119815 3631385560 3829461136 4357662672 4786826420 5265509062 5447078340 5744191704 7180239630 7262771120 7898263593 9573652840 10531018124 10894156680 11488383408 13163772655 14360479260 15796527186 19147305680 21062036248 21788313360 26327545310 28720958520 31593054372 39491317965 42124072496 52655090620 57441917040 63186108744 78982635930 105310181240 126372217488 157965271860 210620362480 315930543720 631861087440