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42226151104 = 2629891012531
BaseRepresentation
bin100111010100110111…
…111110111011000000
311000222210221201201101
4213110313332323000
51142434343313404
631222020544144
73023255235154
oct472467767300
9130883851641
1042226151104
11169a961a345
128225552054
133c9c33c037
1420880d5064
15117216c2a4
hex9d4dfeec0

42226151104 has 112 divisors (see below), whose sum is σ = 88558725600. Its totient is φ = 19948544000.

The previous prime is 42226151101. The next prime is 42226151111. The reversal of 42226151104 is 40115162224.

It is not an unprimeable number, because it can be changed into a prime (42226151101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16682319 + ... + 16684849.

Almost surely, 242226151104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42226151104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44279362800).

42226151104 is an abundant number, since it is smaller than the sum of its proper divisors (46332574496).

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

42226151104 is a wasteful number, since it uses less digits than its factorization.

42226151104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 42226151104 in words is "forty-two billion, two hundred twenty-six million, one hundred fifty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 89 101 116 178 202 232 356 404 464 712 808 928 1424 1616 1856 2531 2581 2848 2929 3232 5062 5162 5696 5858 6464 8989 10124 10324 11716 17978 20248 20648 23432 35956 40496 41296 46864 71912 73399 80992 82592 93728 143824 146798 161984 165184 187456 225259 255631 260681 287648 293596 450518 511262 521362 575296 587192 901036 1022524 1042724 1174384 1802072 2045048 2085448 2348768 3604144 4090096 4170896 4697536 6532511 7208288 7413299 8180192 8341792 13065022 14416576 14826598 16360384 16683584 22751159 26130044 29653196 45502318 52260088 59306392 91004636 104520176 118612784 182009272 209040352 237225568 364018544 418080704 474451136 659783611 728037088 1319567222 1456074176 2639134444 5278268888 10556537776 21113075552 42226151104