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42111313344 = 263340160773
BaseRepresentation
bin100111001110000001…
…111010010111000000
311000200210212100221000
4213032001322113000
51142220444011334
631202355332000
73020362154202
oct471601722700
9130623770830
1042111313344
111694a814001
1281b2bb1000
133c816019b9
142076b60772
151167036299
hex9ce07a5c0

42111313344 has 112 divisors (see below), whose sum is σ = 124110231840. Its totient is φ = 14001868800.

The previous prime is 42111313333. The next prime is 42111313379. The reversal of 42111313344 is 44331311124.

42111313344 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 1 + 313 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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, 662542 + ... + 723314.

It is an arithmetic number, because the mean of its divisors is an integer number (1108127070).

Almost surely, 242111313344 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 42111313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62055115920).

42111313344 is an abundant number, since it is smaller than the sum of its proper divisors (81998918496).

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

42111313344 is a wasteful number, since it uses less digits than its factorization.

42111313344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61195 (or 61179 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 42111313344 its reverse (44331311124), we get a palindrome (86442624468).

The spelling of 42111313344 in words is "forty-two billion, one hundred eleven million, three hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 401 432 576 802 864 1203 1604 1728 2406 3208 3609 4812 6416 7218 9624 10827 12832 14436 19248 21654 25664 28872 38496 43308 57744 60773 76992 86616 115488 121546 173232 182319 230976 243092 346464 364638 486184 546957 692928 729276 972368 1093914 1458552 1640871 1944736 2187828 2917104 3281742 3889472 4375656 5834208 6563484 8751312 11668416 13126968 17502624 24369973 26253936 35005248 48739946 52507872 73109919 97479892 105015744 146219838 194959784 219329757 292439676 389919568 438659514 584879352 657989271 779839136 877319028 1169758704 1315978542 1559678272 1754638056 2339517408 2631957084 3509276112 4679034816 5263914168 7018552224 10527828336 14037104448 21055656672 42111313344