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42480931184 = 24232983199241
BaseRepresentation
bin100111100100000011…
…111001000101110000
311001122120100220021122
4213210003321011300
51144000104244214
631303201441412
73032500646216
oct474403710560
9131576326248
1042480931184
111701a41839a
128296940268
134010066393
1420adc96cb6
1511896e788e
hex9e40f9170

42480931184 has 160 divisors (see below), whose sum is σ = 90744192000. Its totient is φ = 19202641920.

The previous prime is 42480931147. The next prime is 42480931201. The reversal of 42480931184 is 48113908424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176269304 + ... + 176269544.

It is an arithmetic number, because the mean of its divisors is an integer number (567151200).

Almost surely, 242480931184 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 42480931184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45372096000).

42480931184 is an abundant number, since it is smaller than the sum of its proper divisors (48263260816).

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

42480931184 is a wasteful number, since it uses less digits than its factorization.

42480931184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The spelling of 42480931184 in words is "forty-two billion, four hundred eighty million, nine hundred thirty-one thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 23 29 46 58 83 92 116 166 184 199 232 241 332 368 398 464 482 664 667 796 964 1328 1334 1592 1909 1928 2407 2668 3184 3818 3856 4577 4814 5336 5543 5771 6989 7636 9154 9628 10672 11086 11542 13978 15272 16517 18308 19256 20003 22172 23084 27956 30544 33034 36616 38512 40006 44344 46168 47959 55361 55912 66068 73232 80012 88688 92336 95918 110722 111824 132136 132733 160024 160747 191836 221444 264272 265466 320048 321494 379891 383672 442888 460069 478993 530932 580087 642988 759782 767344 885776 920138 957986 1061864 1103057 1160174 1285976 1390811 1519564 1840276 1915972 2123728 2206114 2320348 2571952 2781622 3039128 3680552 3831944 3980597 4412228 4640696 5563244 6078256 7361104 7663888 7961194 8824456 9281392 11016839 11126488 13342001 15922388 17648912 22033678 22252976 26684002 31844776 31988653 44067356 53368004 63689552 63977306 88134712 91553731 106736008 115437313 127954612 176269424 183107462 213472016 230874626 255909224 366214924 461749252 511818448 732429848 923498504 1464859696 1846997008 2655058199 5310116398 10620232796 21240465592 42480931184