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42043104144 = 24323743183511
BaseRepresentation
bin100111001001111101…
…101101101110010000
311000112001111222111100
4213021331231232100
51142101013313034
631151521344400
73015603326436
oct471175555620
9130461458440
1042043104144
1116915266468
128194198100
133c7043c322
14206ba86d56
151161061099
hex9c9f6db90

42043104144 has 120 divisors (see below), whose sum is σ = 123653321792. Its totient is φ = 13318421760.

The previous prime is 42043104133. The next prime is 42043104151. The reversal of 42043104144 is 44140134024.

42043104144 is a `hidden beast` number, since 4 + 204 + 310 + 4 + 144 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137349 + ... + 320859.

Almost surely, 242043104144 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 42043104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61826660896).

42043104144 is an abundant number, since it is smaller than the sum of its proper divisors (81610217648).

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

42043104144 is a wasteful number, since it uses less digits than its factorization.

42043104144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183605 (or 183596 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42043104144 its reverse (44140134024), we get a palindrome (86183238168).

The spelling of 42043104144 in words is "forty-two billion, forty-three million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 43 48 72 74 86 111 129 144 148 172 222 258 296 333 344 387 444 516 592 666 688 774 888 1032 1332 1548 1591 1776 2064 2664 3096 3182 4773 5328 6192 6364 9546 12728 14319 19092 25456 28638 38184 57276 76368 114552 183511 229104 367022 550533 734044 1101066 1468088 1651599 2202132 2936176 3303198 4404264 6606396 6789907 7890973 8808528 13212792 13579814 15781946 20369721 23672919 26425584 27159628 31563892 40739442 47345838 54319256 61109163 63127784 71018757 81478884 94691676 108638512 122218326 126255568 142037514 162957768 189383352 244436652 284075028 291966001 325915536 378766704 488873304 568150056 583932002 875898003 977746608 1136300112 1167864004 1751796006 2335728008 2627694009 3503592012 4671456016 5255388018 7007184024 10510776036 14014368048 21021552072 42043104144