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42971523504 = 24371316758909
BaseRepresentation
bin101000000001010011…
…010110100110110000
311002220202111120102120
4220001103112212300
51201001202223004
631424004514240
73050605631430
oct500123264660
9132822446376
1042971523504
1117251339698
1283b30ab980
13408a8a63b0
1421190c02c0
1511b78033d9
hexa014d69b0

42971523504 has 160 divisors (see below), whose sum is σ = 137447869440. Its totient is φ = 11265094656.

The previous prime is 42971523503. The next prime is 42971523587. The reversal of 42971523504 is 40532517924.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (42971523503) 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, 700002 + ... + 758910.

It is an arithmetic number, because the mean of its divisors is an integer number (859049184).

Almost surely, 242971523504 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 42971523504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68723934720).

42971523504 is an abundant number, since it is smaller than the sum of its proper divisors (94476345936).

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

42971523504 is a wasteful number, since it uses less digits than its factorization.

42971523504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59107 (or 59101 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 42971523504 in words is "forty-two billion, nine hundred seventy-one million, five hundred twenty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 167 168 182 208 273 312 334 336 364 501 546 624 668 728 1002 1092 1169 1336 1456 2004 2171 2184 2338 2672 3507 4008 4342 4368 4676 6513 7014 8016 8684 9352 13026 14028 15197 17368 18704 26052 28056 30394 34736 45591 52104 56112 58909 60788 91182 104208 117818 121576 176727 182364 235636 243152 353454 364728 412363 471272 706908 729456 765817 824726 942544 1237089 1413816 1531634 1649452 2297451 2474178 2827632 3063268 3298904 4594902 4948356 5360719 6126536 6597808 9189804 9837803 9896712 10721438 12253072 16082157 18379608 19675606 19793424 21442876 29513409 32164314 36759216 39351212 42885752 59026818 64328628 68864621 78702424 85771504 118053636 127891439 128657256 137729242 157404848 206593863 236107272 255782878 257314512 275458484 383674317 413187726 472214544 511565756 550916968 767348634 826375452 895240073 1023131512 1101833936 1534697268 1652750904 1790480146 2046263024 2685720219 3069394536 3305501808 3580960292 5371440438 6138789072 7161920584 10742880876 14323841168 21485761752 42971523504