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54439218240 = 2635115155229
BaseRepresentation
bin110010101100110101…
…001000110001000000
312012111221222211020020
4302230311020301000
51342442414440430
641001541213440
73635024501661
oct625465106100
9165457884206
1054439218240
11210a6579460
12a673701280
135197684794
1428c6137368
151639478b10
hexcacd48c40

54439218240 has 112 divisors (see below), whose sum is σ = 188557692480. Its totient is φ = 13197383680.

The previous prime is 54439218199. The next prime is 54439218277. The reversal of 54439218240 is 4281293445.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 54439218192 and 54439218201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2567055 + ... + 2588174.

Almost surely, 254439218240 is an apocalyptic number.

It is an amenable number.

54439218240 is an abundant number, since it is smaller than the sum of its proper divisors (134118474240).

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

54439218240 is a wasteful number, since it uses less digits than its factorization.

54439218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5155260 (or 5155250 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 54439218240 in words is "fifty-four billion, four hundred thirty-nine million, two hundred eighteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 5155229 10310458 15465687 20620916 25776145 30931374 41241832 51552290 56707519 61862748 77328435 82483664 103104580 113415038 123725496 154656870 164967328 170122557 206209160 226830076 247450992 283537595 309313740 329934656 340245114 412418320 453660152 494901984 567075190 618627480 680490228 824836640 850612785 907320304 989803968 1134150380 1237254960 1360980456 1649673280 1701225570 1814640608 2268300760 2474509920 2721960912 3402451140 3629281216 4536601520 4949019840 5443921824 6804902280 9073203040 10887843648 13609804560 18146406080 27219609120 54439218240