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42102331440 = 24351313494337
BaseRepresentation
bin100111001101011111…
…101001100000110000
311000200011222001001220
4213031133221200300
51142211144101230
631201435025040
73020222624661
oct471537514060
9130604861056
1042102331440
1116945739844
1281abb9b180
133c7c7a8670
1420758a3368
15116635ed10
hex9cd7e9830

42102331440 has 80 divisors (see below), whose sum is σ = 140557024608. Its totient is φ = 10363650048.

The previous prime is 42102331421. The next prime is 42102331451. The reversal of 42102331440 is 4413320124.

42102331440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×421023314402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42102331440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6744049 + ... + 6750288.

Almost surely, 242102331440 is an apocalyptic number.

42102331440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42102331440 is an abundant number, since it is smaller than the sum of its proper divisors (98454693168).

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

42102331440 is a wasteful number, since it uses less digits than its factorization.

42102331440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13494366 (or 13494360 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42102331440 its reverse (4413320124), we get a palindrome (46515651564).

The spelling of 42102331440 in words is "forty-two billion, one hundred two million, three hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 13494337 26988674 40483011 53977348 67471685 80966022 107954696 134943370 161932044 175426381 202415055 215909392 269886740 323864088 350852762 404830110 526279143 539773480 647728176 701705524 809660220 877131905 1052558286 1079546960 1403411048 1619320440 1754263810 2105116572 2631395715 2806822096 3238640880 3508527620 4210233144 5262791430 7017055240 8420466288 10525582860 14034110480 21051165720 42102331440