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42213133131224 = 23117313799748109
BaseRepresentation
bin10011001100100100000101…
…10011100001110111011000
312112110112110211100201221112
421212102002303201313120
521013104444040144344
6225440240131555452
711614540535215106
oct1146220263416730
9175415424321845
1042213133131224
11124a5542181a10
124899230a5bb88
131a728b1c93763
14a5d1ab34cc76
154d30d911bc9e
hex266482ce1dd8

42213133131224 has 128 divisors (see below), whose sum is σ = 88257009844800. Its totient is φ = 18767569674240.

The previous prime is 42213133131179. The next prime is 42213133131241.

42213133131224 is nontrivially palindromic in base 10.

It is a congruent number.

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, 877423682 + ... + 877471790.

Almost surely, 242213133131224 is an apocalyptic number.

42213133131224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42213133131224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44128504922400).

42213133131224 is an abundant number, since it is smaller than the sum of its proper divisors (46043876713576).

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

42213133131224 is a wasteful number, since it uses less digits than its factorization.

42213133131224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49333 (or 49329 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 4221313 and 3131224, that added together give a palindrome (7352537).

The spelling of 42213133131224 in words is "forty-two trillion, two hundred thirteen billion, one hundred thirty-three million, one hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 73 88 137 146 274 292 548 584 803 997 1096 1507 1606 1994 3014 3212 3988 6028 6424 7976 10001 10967 12056 20002 21934 40004 43868 48109 72781 80008 87736 96218 110011 136589 145562 192436 220022 273178 291124 384872 440044 529199 546356 582248 800591 880088 1058398 1092712 1502479 1601182 2116796 3004958 3202364 3511957 4233592 6009916 6404728 6590933 7023914 9970997 12019832 13181866 14047828 19941994 26363732 28095656 38631527 39883988 47964673 52727464 72500263 77263054 79767976 95929346 109680967 145000526 154526108 191858692 219361934 290001052 309052216 383717384 438723868 481138109 527611403 580002104 877447736 962276218 1055222806 1924552436 2110445612 3501421129 3849104872 4220891224 5292519199 6571160201 7002842258 10585038398 13142320402 14005684516 21170076796 26284640804 28011369032 38515632419 42340153592 52569281608 72282762211 77031264838 144565524422 154062529676 289131048844 308125059352 479694694673 578262097688 959389389346 1918778778692 3837557557384 5276641641403 10553283282806 21106566565612 42213133131224