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426444651240 = 233579261717189
BaseRepresentation
bin1100011010010100001…
…01001111101011101000
31111202201122211211202020
412031022011033223220
523441324312314430
6523523404504440
742544460504406
oct6151205175350
91452648754666
10426444651240
11154943985273
126a79354b120
13312a1257c7a
14168d6362476
15b15d330b10
hex634a14fae8

426444651240 has 128 divisors (see below), whose sum is σ = 1296098496000. Its totient is φ = 112229664768.

The previous prime is 426444651233. The next prime is 426444651287. The reversal of 426444651240 is 42156444624.

It is a junction number, because it is equal to n+sod(n) for n = 426444651192 and 426444651201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24800566 + ... + 24817754.

It is an arithmetic number, because the mean of its divisors is an integer number (10125769500).

Almost surely, 2426444651240 is an apocalyptic number.

426444651240 is a gapful number since it is divisible by the number (40) 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 426444651240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648049248000).

426444651240 is an abundant number, since it is smaller than the sum of its proper divisors (869653844760).

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

426444651240 is a wasteful number, since it uses less digits than its factorization.

426444651240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19899 (or 19895 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

The spelling of 426444651240 in words is "four hundred twenty-six billion, four hundred forty-four million, six hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 2370 2617 3160 4740 5234 7851 9480 10468 13085 15702 17189 20936 26170 31404 34378 39255 51567 52340 62808 68756 78510 85945 103134 104680 137512 157020 171890 206268 206743 257835 314040 343780 412536 413486 515670 620229 687560 826972 1031340 1033715 1240458 1357931 1653944 2062680 2067430 2480916 2715862 3101145 4073793 4134860 4961832 5431724 6202290 6789655 8147586 8269720 10863448 12404580 13579310 16295172 20368965 24809160 27158620 32590344 40737930 44983613 54317240 81475860 89967226 134950839 162951720 179934452 224918065 269901678 359868904 449836130 539803356 674754195 899672260 1079606712 1349508390 1799344520 2699016780 3553705427 5398033560 7107410854 10661116281 14214821708 17768527135 21322232562 28429643416 35537054270 42644465124 53305581405 71074108540 85288930248 106611162810 142148217080 213222325620 426444651240