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3431041241420 = 2251325922877523
BaseRepresentation
bin110001111011011001111…
…111101001000101001100
3110011000010011102002112002
4301323121333221011030
5422203233024211140
611144110521131432
7502612254233162
oct61733177510514
913130104362462
103431041241420
111103107374201
12474b60929b78
131bb713180100
14bc0c5909232
155e3b1392415
hex31ed9fe914c

3431041241420 has 144 divisors (see below), whose sum is σ = 7938828817920. Its totient is φ = 1244664016128.

The previous prime is 3431041241401. The next prime is 3431041241447. The reversal of 3431041241420 is 241421401343.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456069779 + ... + 456077301.

It is an arithmetic number, because the mean of its divisors is an integer number (55130755680).

Almost surely, 23431041241420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431041241420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3969414408960).

3431041241420 is an abundant number, since it is smaller than the sum of its proper divisors (4507787576500).

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

3431041241420 is a wasteful number, since it uses less digits than its factorization.

3431041241420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9904 (or 9889 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 3431041241420 its reverse (241421401343), we get a palindrome (3672462642763).

The spelling of 3431041241420 in words is "three trillion, four hundred thirty-one billion, forty-one million, two hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 118 130 169 236 260 295 338 590 676 767 845 1180 1534 1690 2287 3068 3380 3835 4574 7523 7670 9148 9971 11435 15046 15340 19942 22870 29731 30092 37615 39884 45740 49855 59462 75230 97799 99710 118924 134933 148655 150460 195598 199420 269866 297310 386503 391196 443857 488995 539732 594620 674665 773006 887714 977990 1271387 1349330 1546012 1754129 1775428 1932515 1955980 2219285 2542774 2698660 3508258 3865030 4438570 5085548 5770141 6356935 7016516 7730060 8770645 8877140 11540282 12713870 17205101 17541290 22803677 23080564 25427740 28850705 34410202 35082580 45607354 57701410 68820404 75011833 86025505 91214708 114018385 115402820 150023666 172051010 223666313 228036770 300047332 344102020 375059165 447332626 456073540 750118330 894665252 1015100959 1118331565 1500236660 2030201918 2236663130 2907662069 4060403836 4473326260 5075504795 5815324138 10151009590 11630648276 13196312467 14538310345 20302019180 26392624934 29076620690 52785249868 58153241380 65981562335 131963124670 171552062071 263926249340 343104124142 686208248284 857760310355 1715520620710 3431041241420