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128357942232 = 233134329633229
BaseRepresentation
bin111011110001010111…
…0101100001111011000
3110021022111010001211110
41313202232230033120
54100334113122412
6134544500100320
712162554335632
oct1674256541730
9407274101743
10128357942232
114a4887918a3
1220a629946a0
13c147934710
1462d9387a52
153513b07d3c
hex1de2bac3d8

128357942232 has 128 divisors (see below), whose sum is σ = 353844691200. Its totient is φ = 38551306752.

The previous prime is 128357942183. The next prime is 128357942233. The reversal of 128357942232 is 232249753821.

It is a super-3 number, since 3×1283579422323 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128357942233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39749994 + ... + 39753222.

It is an arithmetic number, because the mean of its divisors is an integer number (2764411650).

Almost surely, 2128357942232 is an apocalyptic number.

128357942232 is a gapful number since it is divisible by the number (12) 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 128357942232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176922345600).

128357942232 is an abundant number, since it is smaller than the sum of its proper divisors (225486748968).

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

128357942232 is a wasteful number, since it uses less digits than its factorization.

128357942232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6257 (or 6253 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 128357942232 in words is "one hundred twenty-eight billion, three hundred fifty-seven million, nine hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 258 312 344 516 559 1032 1118 1677 2236 2963 3229 3354 4472 5926 6458 6708 8889 9687 11852 12916 13416 17778 19374 23704 25832 35556 38519 38748 41977 71112 77038 77496 83954 115557 125931 127409 138847 154076 167908 231114 251862 254818 277694 308152 335816 382227 416541 462228 503724 509636 555388 764454 833082 924456 1007448 1019272 1110776 1528908 1656317 1666164 1805011 3057816 3312634 3332328 3610022 4968951 5415033 6625268 7220044 9567527 9937902 10830066 13250536 14440088 19135054 19875804 21660132 28702581 38270108 39751608 43320264 57405162 76540216 114810324 124377851 229620648 248755702 373133553 411403661 497511404 746267106 822807322 995022808 1234210983 1492534212 1645614644 2468421966 2985068424 3291229288 4936843932 5348247593 9873687864 10696495186 16044742779 21392990372 32089485558 42785980744 64178971116 128357942232