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422544005040 = 243519234028833
BaseRepresentation
bin1100010011000011001…
…01011101011110110000
31111101122211002111002110
412021201211131132300
523410332231130130
6522040344245320
742346014532143
oct6114145353660
91441584074073
10422544005040
11153222091023
1269a85170840
1330acc0b1bb1
14166462b205a
15aed0b83ab0
hex626195d7b0

422544005040 has 160 divisors (see below), whose sum is σ = 1438777198080. Its totient is φ = 102106718208.

The previous prime is 422544005029. The next prime is 422544005077. The reversal of 422544005040 is 40500445224.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 422544004989 and 422544005007.

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, 1909537 + ... + 2119296.

It is an arithmetic number, because the mean of its divisors is an integer number (8992357488).

Almost surely, 2422544005040 is an apocalyptic number.

422544005040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422544005040 is an abundant number, since it is smaller than the sum of its proper divisors (1016233193040).

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

422544005040 is a wasteful number, since it uses less digits than its factorization.

422544005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4028891 (or 4028885 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The spelling of 422544005040 in words is "four hundred twenty-two billion, five hundred forty-four million, five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 23 24 30 38 40 46 48 57 60 69 76 80 92 95 114 115 120 138 152 184 190 228 230 240 276 285 304 345 368 380 437 456 460 552 570 690 760 874 912 920 1104 1140 1311 1380 1520 1748 1840 2185 2280 2622 2760 3496 4370 4560 5244 5520 6555 6992 8740 10488 13110 17480 20976 26220 34960 52440 104880 4028833 8057666 12086499 16115332 20144165 24172998 32230664 40288330 48345996 60432495 64461328 76547827 80576660 92663159 96691992 120864990 153095654 161153320 185326318 193383984 229643481 241729980 277989477 306191308 322306640 370652636 382739135 459286962 463315795 483459960 555978954 612382616 741305272 765478270 918573924 926631590 966919920 1111957908 1148217405 1224765232 1389947385 1482610544 1530956540 1760600021 1837147848 1853263180 2223915816 2296434810 2779894770 3061913080 3521200042 3674295696 3706526360 4447831632 4592869620 5281800063 5559789540 6123826160 7042400084 7413052720 8803000105 9185739240 10563600126 11119579080 14084800168 17606000210 18371478480 21127200252 22239158160 26409000315 28169600336 35212000420 42254400504 52818000630 70424000840 84508801008 105636001260 140848001680 211272002520 422544005040