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42290022840 = 23351347576787
BaseRepresentation
bin100111011000101011…
…101000100110111000
311001011021010202021020
4213120223220212320
51143102221212330
631232221542440
73024662156142
oct473053504670
9131137122236
1042290022840
1116a316850aa
128242a14a20
133cac643370
14209279dc92
151177a87210
hex9d8ae89b8

42290022840 has 128 divisors (see below), whose sum is σ = 139536552960. Its totient is φ = 10188347904.

The previous prime is 42290022833. The next prime is 42290022847. The reversal of 42290022840 is 4822009224.

It is a happy number.

42290022840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42290022833) and next prime (42290022847).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42290022847) 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, 215074 + ... + 361713.

It is an arithmetic number, because the mean of its divisors is an integer number (1090129320).

Almost surely, 242290022840 is an apocalyptic number.

42290022840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42290022840 is an abundant number, since it is smaller than the sum of its proper divisors (97246530120).

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

42290022840 is a wasteful number, since it uses less digits than its factorization.

42290022840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576861 (or 576857 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 42290022840 in words is "forty-two billion, two hundred ninety million, twenty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 47 52 60 65 78 94 104 120 130 141 156 188 195 235 260 282 312 376 390 470 520 564 611 705 780 940 1128 1222 1410 1560 1833 1880 2444 2820 3055 3666 4888 5640 6110 7332 9165 12220 14664 18330 24440 36660 73320 576787 1153574 1730361 2307148 2883935 3460722 4614296 5767870 6921444 7498231 8651805 11535740 13842888 14996462 17303610 22494693 23071480 27108989 29992924 34607220 37491155 44989386 54217978 59985848 69214440 74982310 81326967 89978772 108435956 112473465 135544945 149964620 162653934 179957544 216871912 224946930 271089890 299929240 325307868 352416857 406634835 449893860 542179780 650615736 704833714 813269670 899787720 1057250571 1084359560 1409667428 1626539340 1762084285 2114501142 2819334856 3253078680 3524168570 4229002284 5286252855 7048337140 8458004568 10572505710 14096674280 21145011420 42290022840