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56446321140 = 223251141695323
BaseRepresentation
bin110100100100011101…
…101000000111110100
312101200211201012210200
4310210131220013310
51411100224234030
641533040320500
74035535545636
oct644435500764
9171624635720
1056446321140
1121a36527590
12ab33913130
135427447b31
142a36920a56
151705790d60
hexd247681f4

56446321140 has 144 divisors (see below), whose sum is σ = 191342039616. Its totient is φ = 13350182400.

The previous prime is 56446321123. The next prime is 56446321157. The reversal of 56446321140 is 4112364465.

56446321140 is a `hidden beast` number, since 5 + 6 + 4 + 4 + 632 + 1 + 14 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56446321123) and next prime (56446321157).

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 = 56446321095 and 56446321104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266482 + ... + 428841.

It is an arithmetic number, because the mean of its divisors is an integer number (1328764164).

Almost surely, 256446321140 is an apocalyptic number.

It is an amenable number.

56446321140 is an abundant number, since it is smaller than the sum of its proper divisors (134895718476).

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

56446321140 is a wasteful number, since it uses less digits than its factorization.

56446321140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695390 (or 695385 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 56446321140 in words is "fifty-six billion, four hundred forty-six million, three hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 41 44 45 55 60 66 82 90 99 110 123 132 164 165 180 198 205 220 246 330 369 396 410 451 492 495 615 660 738 820 902 990 1230 1353 1476 1804 1845 1980 2255 2460 2706 3690 4059 4510 5412 6765 7380 8118 9020 13530 16236 20295 27060 40590 81180 695323 1390646 2085969 2781292 3476615 4171938 6257907 6953230 7648553 8343876 10429845 12515814 13906460 15297106 20859690 22945659 25031628 28508243 30594212 31289535 38242765 41719380 45891318 57016486 62579070 68836977 76485530 85524729 91782636 114032972 114728295 125158140 137673954 142541215 152971060 171049458 229456590 256574187 275347908 285082430 313590673 342098916 344184885 427623645 458913180 513148374 570164860 627181346 688369770 855247290 940772019 1026296748 1254362692 1282870935 1376739540 1567953365 1710494580 1881544038 2565741870 2822316057 3135906730 3763088076 4703860095 5131483740 5644632114 6271813460 9407720190 11289264228 14111580285 18815440380 28223160570 56446321140