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54312312240 = 24335231093243
BaseRepresentation
bin110010100101010001…
…000001110110110000
312012012010012022221000
4302211101001312300
51342212422442430
640541205202000
73631624015434
oct624521016660
9165163168830
1054312312240
112104098006a
12a639100300
1351772b0384
1428b33409c4
15162d25be60
hexca5441db0

54312312240 has 160 divisors (see below), whose sum is σ = 195209648640. Its totient is φ = 13853562624.

The previous prime is 54312312233. The next prime is 54312312319. The reversal of 54312312240 is 4221321345.

54312312240 is a `hidden beast` number, since 5 + 431 + 2 + 3 + 1 + 224 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496942 + ... + 596301.

It is an arithmetic number, because the mean of its divisors is an integer number (1220060304).

Almost surely, 254312312240 is an apocalyptic number.

It is an amenable number.

54312312240 is an abundant number, since it is smaller than the sum of its proper divisors (140897336400).

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

54312312240 is a wasteful number, since it uses less digits than its factorization.

54312312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093288 (or 1093276 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 54312312240 its reverse (4221321345), we get a palindrome (58533633585).

The spelling of 54312312240 in words is "fifty-four billion, three hundred twelve million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 1035 1080 1104 1242 1380 1656 1840 2070 2160 2484 2760 3105 3312 4140 4968 5520 6210 8280 9936 12420 16560 24840 49680 1093243 2186486 3279729 4372972 5466215 6559458 8745944 9839187 10932430 13118916 16398645 17491888 19678374 21864860 25144589 26237832 29517561 32797290 39356748 43729720 49195935 50289178 52475664 59035122 65594580 75433767 78713496 87459440 98391870 100578356 118070244 125722945 131189160 147587805 150867534 157426992 196783740 201156712 226301301 236140488 251445890 262378320 295175610 301735068 377168835 393567480 402313424 452602602 472280976 502891780 590351220 603470136 678903903 754337670 787134960 905205204 1005783560 1131506505 1180702440 1206940272 1357807806 1508675340 1810410408 2011567120 2263013010 2361404880 2715615612 3017350680 3394519515 3620820816 4526026020 5431231224 6034701360 6789039030 9052052040 10862462448 13578078060 18104104080 27156156120 54312312240