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42437236240 = 2457479911627
BaseRepresentation
bin100111100001011101…
…001101011000010000
311001112112010222002101
4213201131031120100
51143402413024430
631255001130144
73031430361550
oct474135153020
9131475128071
1042437236240
1116aa7793773
128284189954
134003ca7a99
1420a8161160
151185965dca
hex9e174d610

42437236240 has 160 divisors (see below), whose sum is σ = 115348045824. Its totient is φ = 14217223680.

The previous prime is 42437236223. The next prime is 42437236243. The reversal of 42437236240 is 4263273424.

It is a self number, because there is not a number n which added to its sum of digits gives 42437236240.

It is not an unprimeable number, because it can be changed into a prime (42437236243) 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, 26082307 + ... + 26083933.

Almost surely, 242437236240 is an apocalyptic number.

42437236240 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 42437236240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57674022912).

42437236240 is an abundant number, since it is smaller than the sum of its proper divisors (72910809584).

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

42437236240 is a wasteful number, since it uses less digits than its factorization.

42437236240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 37.

The spelling of 42437236240 in words is "forty-two billion, four hundred thirty-seven million, two hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 94 112 140 188 235 280 329 376 470 560 658 752 940 991 1316 1627 1645 1880 1982 2632 3254 3290 3760 3964 4955 5264 6508 6580 6937 7928 8135 9910 11389 13016 13160 13874 15856 16270 19820 22778 26032 26320 27748 32540 34685 39640 45556 46577 55496 56945 65080 69370 76469 79280 91112 93154 110992 113890 130160 138740 152938 182224 186308 227780 232885 277480 305876 326039 372616 382345 455560 465770 535283 554960 611752 652078 745232 764690 911120 931540 1070566 1223504 1304156 1529380 1612357 1630195 1863080 2141132 2608312 2676415 3058760 3224714 3260390 3726160 4282264 5216624 5352830 6117520 6449428 6520780 8061785 8564528 10705660 11286499 12898856 13041560 16123570 21411320 22572998 25797712 26083120 32247140 42822640 45145996 56432495 64494280 75780779 90291992 112864990 128988560 151561558 180583984 225729980 303123116 378903895 451459960 530465453 606246232 757807790 902919920 1060930906 1212492464 1515615580 2121861812 2652327265 3031231160 4243723624 5304654530 6062462320 8487447248 10609309060 21218618120 42437236240