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30881981040 = 24351713755249
BaseRepresentation
bin11100110000101101…
…011010001001110000
32221201012220011220120
4130300231122021300
51001221241343130
622104220010240
72142166336101
oct346055321160
987635804816
1030881981040
1112108089489
125b9a390980
132bb201cc81
1416cd6343a8
15c0b296910
hex730b5a270

30881981040 has 160 divisors (see below), whose sum is σ = 102107304000. Its totient is φ = 7694057472.

The previous prime is 30881981033. The next prime is 30881981059. The reversal of 30881981040 is 4018918803.

It is a junction number, because it is equal to n+sod(n) for n = 30881980983 and 30881981001.

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, 531336 + ... + 586584.

It is an arithmetic number, because the mean of its divisors is an integer number (638170650).

Almost surely, 230881981040 is an apocalyptic number.

30881981040 is a gapful number since it is divisible by the number (30) 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 30881981040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51053652000).

30881981040 is an abundant number, since it is smaller than the sum of its proper divisors (71225322960).

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

30881981040 is a wasteful number, since it uses less digits than its factorization.

30881981040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55419 (or 55413 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 30881981040 in words is "thirty billion, eight hundred eighty-one million, nine hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 137 170 204 240 255 272 274 340 408 411 510 548 680 685 816 822 1020 1096 1360 1370 1644 2040 2055 2192 2329 2740 3288 4080 4110 4658 5480 6576 6987 8220 9316 10960 11645 13974 16440 18632 23290 27948 32880 34935 37264 46580 55249 55896 69870 93160 110498 111792 139740 165747 186320 220996 276245 279480 331494 441992 552490 558960 662988 828735 883984 939233 1104980 1325976 1657470 1878466 2209960 2651952 2817699 3314940 3756932 4419920 4696165 5635398 6629880 7513864 7569113 9392330 11270796 13259760 14088495 15027728 15138226 18784660 22541592 22707339 28176990 30276452 37569320 37845565 45083184 45414678 56353980 60552904 75138640 75691130 90829356 112707960 113536695 121105808 128674921 151382260 181658712 225415920 227073390 257349842 302764520 363317424 386024763 454146780 514699684 605529040 643374605 772049526 908293560 1029399368 1286749210 1544099052 1816587120 1930123815 2058798736 2573498420 3088198104 3860247630 5146996840 6176396208 7720495260 10293993680 15440990520 30881981040