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42723990912 = 2731743152203
BaseRepresentation
bin100111110010100011…
…000101110110000000
311002021111201121112210
4213302203011312000
51144444320202122
631343243222120
73041511634161
oct476243056600
9132244647483
1042723990912
11171346407a9
128344217940
13404b518ac5
1420d4287768
1511a0c0a40c
hex9f28c5d80

42723990912 has 128 divisors (see below), whose sum is σ = 122956479360. Its totient is φ = 13091807232.

The previous prime is 42723990893. The next prime is 42723990923. The reversal of 42723990912 is 21909932724.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204603 + ... + 356805.

It is an arithmetic number, because the mean of its divisors is an integer number (960597495).

Almost surely, 242723990912 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 42723990912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61478239680).

42723990912 is an abundant number, since it is smaller than the sum of its proper divisors (80232488448).

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

42723990912 is a wasteful number, since it uses less digits than its factorization.

42723990912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152280 (or 152268 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 42723990912 in words is "forty-two billion, seven hundred twenty-three million, nine hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 64 68 86 96 102 128 129 136 172 192 204 258 272 344 384 408 516 544 688 731 816 1032 1088 1376 1462 1632 2064 2176 2193 2752 2924 3264 4128 4386 5504 5848 6528 8256 8772 11696 16512 17544 23392 35088 46784 70176 93568 140352 152203 280704 304406 456609 608812 913218 1217624 1826436 2435248 2587451 3652872 4870496 5174902 6544729 7305744 7762353 9740992 10349804 13089458 14611488 15524706 19481984 19634187 20699608 26178916 29222976 31049412 39268374 41399216 52357832 58445952 62098824 78536748 82798432 104715664 111260393 124197648 157073496 165596864 209431328 222520786 248395296 314146992 331193728 333781179 418862656 445041572 496790592 628293984 667562358 837725312 890083144 993581184 1256587968 1335124716 1780166288 2513175936 2670249432 3560332576 5340498864 7120665152 10680997728 14241330304 21361995456 42723990912