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42147727720 = 23573110347143
BaseRepresentation
bin100111010000001100…
…110100100101101000
311000210100101102001121
4213100030310211220
51142304304241340
631210140025024
73021313526440
oct472014644550
9130710342047
1042147727720
111696932572a
128203232174
133c89011477
14207b91d120
15116a32a94a
hex9d0334968

42147727720 has 128 divisors (see below), whose sum is σ = 112964567040. Its totient is φ = 13848433920.

The previous prime is 42147727703. The next prime is 42147727793. The reversal of 42147727720 is 2772774124.

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, 870469 + ... + 917611.

It is an arithmetic number, because the mean of its divisors is an integer number (882535680).

Almost surely, 242147727720 is an apocalyptic number.

42147727720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42147727720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56482283520).

42147727720 is an abundant number, since it is smaller than the sum of its proper divisors (70816839320).

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

42147727720 is a wasteful number, since it uses less digits than its factorization.

42147727720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47295 (or 47291 counting only the distinct ones).

The product of its (nonzero) digits is 307328, while the sum is 43.

The spelling of 42147727720 in words is "forty-two billion, one hundred forty-seven million, seven hundred twenty-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 103 124 140 155 206 217 248 280 310 412 434 515 620 721 824 868 1030 1085 1240 1442 1736 2060 2170 2884 3193 3605 4120 4340 5768 6386 7210 8680 12772 14420 15965 22351 25544 28840 31930 44702 47143 63860 89404 94286 111755 127720 178808 188572 223510 235715 330001 377144 447020 471430 660002 894040 942860 1320004 1461433 1650005 1885720 2640008 2922866 3300010 4855729 5845732 6600020 7307165 9711458 10230031 11691464 13200040 14614330 19422916 20460062 24278645 29228660 33990103 38845832 40920124 48557290 51150155 58457320 67980206 81840248 97114580 102300310 135960412 150527599 169950515 194229160 204600620 271920824 301055198 339901030 409201240 602110396 679802060 752637995 1053693193 1204220792 1359604120 1505275990 2107386386 3010551980 4214772772 5268465965 6021103960 8429545544 10536931930 21073863860 42147727720