Search a number
-
+
42039691360 = 255679740429
BaseRepresentation
bin100111001001110000…
…101100100001100000
311000111211002121000221
4213021300230201200
51142044130110420
631151320252424
73015532323562
oct471160544140
9130454077027
1042039691360
1116913345387
128193011114
133c6c815b24
14206b439332
151160ad9caa
hex9c9c2c860

42039691360 has 96 divisors (see below), whose sum is σ = 101842846560. Its totient is φ = 16393715712.

The previous prime is 42039691339. The next prime is 42039691429. The reversal of 42039691360 is 6319693024.

It is a congruent number.

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, 1019626 + ... + 1060054.

It is an arithmetic number, because the mean of its divisors is an integer number (1060862985).

Almost surely, 242039691360 is an apocalyptic number.

42039691360 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 42039691360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50921423280).

42039691360 is an abundant number, since it is smaller than the sum of its proper divisors (59803155200).

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

42039691360 is a wasteful number, since it uses less digits than its factorization.

42039691360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40608 (or 40600 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 43.

The spelling of 42039691360 in words is "forty-two billion, thirty-nine million, six hundred ninety-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 97 134 160 194 268 335 388 485 536 670 776 970 1072 1340 1552 1940 2144 2680 3104 3880 5360 6499 7760 10720 12998 15520 25996 32495 40429 51992 64990 80858 103984 129980 161716 202145 207968 259960 323432 404290 519920 646864 808580 1039840 1293728 1617160 2708743 3234320 3921613 5417486 6468640 7843226 10834972 13543715 15686452 19608065 21669944 27087430 31372904 39216130 43339888 54174860 62745808 78432260 86679776 108349720 125491616 156864520 216699440 262748071 313729040 433398880 525496142 627458080 1050992284 1313740355 2101984568 2627480710 4203969136 5254961420 8407938272 10509922840 21019845680 42039691360