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42012303036 = 223112194732401
BaseRepresentation
bin100111001000001000…
…001101111010111100
311000102220120010022120
4213020020031322330
51142020122144121
631144501242540
73015050453334
oct471010157274
9130386503276
1042012303036
11168a9939100
128185a03450
133c66c46812
14206794a0c4
15115d4c9bc6
hex9c820debc

42012303036 has 144 divisors (see below), whose sum is σ = 115838446080. Its totient is φ = 11803968000.

The previous prime is 42012303007. The next prime is 42012303043. The reversal of 42012303036 is 63030321024.

It is a junction number, because it is equal to n+sod(n) for n = 42012302997 and 42012303015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1280436 + ... + 1312836.

Almost surely, 242012303036 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 42012303036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57919223040).

42012303036 is an abundant number, since it is smaller than the sum of its proper divisors (73826143044).

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

42012303036 is a wasteful number, since it uses less digits than its factorization.

42012303036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32496 (or 32483 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The spelling of 42012303036 in words is "forty-two billion, twelve million, three hundred three thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 47 57 66 76 94 114 121 132 141 188 209 228 242 282 363 418 484 517 564 627 726 836 893 1034 1254 1452 1551 1786 2068 2299 2508 2679 3102 3572 4598 5358 5687 6204 6897 9196 9823 10716 11374 13794 17061 19646 22748 27588 29469 32401 34122 39292 58938 64802 68244 97203 108053 117876 129604 194406 216106 324159 356411 388812 432212 615619 648318 712822 1069233 1231238 1296636 1425644 1522847 1846857 2138466 2462476 3045694 3693714 3920521 4276932 4568541 6091388 6771809 7387428 7841042 9137082 11761563 13543618 15682084 16751317 18274164 20315427 23523126 27087236 28934093 33502634 40630854 47046252 50253951 57868186 67005268 74489899 81261708 86802279 100507902 115736372 148979798 173604558 184264487 201015804 223469697 297959596 318275023 347209116 368528974 446939394 552793461 636550046 737057948 893878788 954825069 1105586922 1273100092 1909650138 2211173844 3501025253 3819300276 7002050506 10503075759 14004101012 21006151518 42012303036