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42039009024 = 283894311427
BaseRepresentation
bin100111001001101110…
…000101111100000000
311000111202210221001020
4213021232011330000
51142043441242044
631151253505440
73015523452345
oct471156057400
9130452727036
1042039009024
1116912a19771
128192942280
133c6c63738c
14206b2dc7cc
151160a02a19
hex9c9b85f00

42039009024 has 144 divisors (see below), whose sum is σ = 113484188160. Its totient is φ = 13813719040.

The previous prime is 42039009007. The next prime is 42039009041. The reversal of 42039009024 is 42090093024.

It is an interprime number because it is at equal distance from previous prime (42039009007) and next prime (42039009041).

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, 29458999 + ... + 29460425.

It is an arithmetic number, because the mean of its divisors is an integer number (788084640).

Almost surely, 242039009024 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 42039009024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56742094080).

42039009024 is an abundant number, since it is smaller than the sum of its proper divisors (71445179136).

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

42039009024 is a wasteful number, since it uses less digits than its factorization.

42039009024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 42039009024 in words is "forty-two billion, thirty-nine million, nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 256 267 356 384 431 534 712 768 862 1068 1293 1424 1427 1724 2136 2586 2848 2854 3448 4272 4281 5172 5696 5708 6896 8544 8562 10344 11392 11416 13792 17088 17124 20688 22784 22832 27584 34176 34248 38359 41376 45664 55168 68352 68496 76718 82752 91328 110336 115077 127003 136992 153436 165504 182656 230154 254006 273984 306872 331008 365312 381009 460308 508012 547968 613744 615037 762018 920616 1016024 1095936 1227488 1230074 1524036 1841232 1845111 2032048 2454976 2460148 3048072 3682464 3690222 4064096 4909952 4920296 6096144 7364928 7380444 8128192 9819904 9840592 12192288 14729856 14760888 16256384 19681184 24384576 29459712 29521776 32512768 39362368 48769152 54738293 59043552 78724736 97538304 109476586 118087104 157449472 164214879 218953172 236174208 328429758 437906344 472348416 656859516 875812688 1313719032 1751625376 2627438064 3503250752 5254876128 7006501504 10509752256 14013003008 21019504512 42039009024