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8311028275144 = 2375314935353239
BaseRepresentation
bin111100011110000111111…
…1000110101011111001000
31002102112012211221212001101
41320330033320311133020
52042131441214301034
625402011135231144
71515311012510350
oct170741770653710
932375184855041
108311028275144
11271476187a911
12b228966784b4
1348395a46a25a
1420a382331b60
15e62c78eb514
hex78f0fe357c8

8311028275144 has 128 divisors (see below), whose sum is σ = 18319245120000. Its totient is φ = 3461311586304.

The previous prime is 8311028275133. The next prime is 8311028275211. The reversal of 8311028275144 is 4415728201138.

It is a junction number, because it is equal to n+sod(n) for n = 8311028275094 and 8311028275103.

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, 156081277 + ... + 156134515.

It is an arithmetic number, because the mean of its divisors is an integer number (143119102500).

Almost surely, 28311028275144 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 8311028275144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9159622560000).

8311028275144 is an abundant number, since it is smaller than the sum of its proper divisors (10008216844856).

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

8311028275144 is a wasteful number, since it uses less digits than its factorization.

8311028275144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53807 (or 53803 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The spelling of 8311028275144 in words is "eight trillion, three hundred eleven billion, twenty-eight million, two hundred seventy-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 53 56 106 149 212 298 353 371 424 596 706 742 1043 1192 1412 1484 2086 2471 2824 2968 4172 4942 7897 8344 9884 15794 18709 19768 31588 37418 52597 53239 55279 63176 74836 105194 106478 110558 130963 149672 210388 212956 221116 261926 368179 372673 420776 425912 442232 523852 736358 745346 1047704 1472716 1490692 2787641 2821667 2945432 2981384 5575282 5643334 7932611 11150564 11286668 15865222 18793367 19513487 19751669 22301128 22573336 31730444 37586734 39026974 39503338 55528277 63460888 75173468 78053948 79006676 111056554 131553569 150346936 156107896 158013352 222113108 263107138 420428383 444226216 526214276 840856766 996048451 1052428552 1681713532 1992096902 2800211683 2942998681 3363427064 3984193804 5600423366 5885997362 6972339157 7968387608 11200846732 11771994724 13944678314 19601481781 22401693464 23543989448 27889356628 39202963562 55778713256 78405927124 148411219199 156811854248 296822438398 593644876796 1038878534393 1187289753592 2077757068786 4155514137572 8311028275144