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4234871155104 = 253252972775989
BaseRepresentation
bin111101101000000001111…
…111011010100110100000
3112222211221110012121101200
4331220001333122212200
51023341004003430404
613001250054001200
7614650024613262
oct75500177324640
915884843177350
104234871155104
111392aa9400817
125848b5946200
132494677387a5
14108d7c78bb32
157525aa0d839
hex3da01fda9a0

4234871155104 has 72 divisors (see below), whose sum is σ = 12045192721380. Its totient is φ = 1411356715008.

The previous prime is 4234871155079. The next prime is 4234871155121. The reversal of 4234871155104 is 4015511784324.

4234871155104 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 87 + 11 + 551 + 0 + 4 = 666.

4234871155104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4231462930704 + 3408224400 = 2057052^2 + 58380^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 4234871155104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137542 + ... + 2913530.

Almost surely, 24234871155104 is an apocalyptic number.

It is an amenable number.

4234871155104 is an abundant number, since it is smaller than the sum of its proper divisors (7810321566276).

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

4234871155104 is a wasteful number, since it uses less digits than its factorization.

4234871155104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781302 (or 2781291 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 4234871155104 in words is "four trillion, two hundred thirty-four billion, eight hundred seventy-one million, one hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 5297 10594 15891 21188 31782 42376 47673 63564 84752 95346 127128 169504 190692 254256 381384 508512 762768 1525536 2775989 5551978 8327967 11103956 16655934 22207912 24983901 33311868 44415824 49967802 66623736 88831648 99935604 133247472 199871208 266494944 399742416 799484832 14704413733 29408827466 44113241199 58817654932 88226482398 117635309864 132339723597 176452964796 235270619728 264679447194 352905929592 470541239456 529358894388 705811859184 1058717788776 1411623718368 2117435577552 4234871155104