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42444022042104 = 23353179481738699
BaseRepresentation
bin10011010011010010001001…
…10110110100110111111000
312120021121102212120200022020
421221221010312310313320
521030400324120321404
6230134303050354440
711640323301452634
oct1151510466646770
9176247385520266
1042444022042104
1112584454a25031
124915b2912ba20
131a8b5b988ab97
14a6a431949dc4
154d90ee255ed9
hex269a44db4df8

42444022042104 has 128 divisors (see below), whose sum is σ = 108741489120000. Its totient is φ = 13800293771264.

The previous prime is 42444022042057. The next prime is 42444022042117. The reversal of 42444022042104 is 40124022044424.

It is a super-2 number, since 2×424440220421042 (a number of 28 digits) contains 22 as substring.

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, 1096753747 + ... + 1096792445.

It is an arithmetic number, because the mean of its divisors is an integer number (849542883750).

Almost surely, 242444022042104 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 42444022042104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54370744560000).

42444022042104 is an abundant number, since it is smaller than the sum of its proper divisors (66297467077896).

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

42444022042104 is a wasteful number, since it uses less digits than its factorization.

42444022042104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43757 (or 43753 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 33.

Adding to 42444022042104 its reverse (40124022044424), we get a palindrome (82568044086528).

The spelling of 42444022042104 in words is "forty-two trillion, four hundred forty-four billion, twenty-two million, forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 179 212 318 358 424 537 636 716 1074 1272 1432 2148 4296 4817 9487 9634 14451 18974 19268 28461 28902 37948 38536 38699 56922 57804 75896 77398 113844 115608 116097 154796 227688 232194 255301 309592 464388 510602 765903 862243 928776 1021204 1531806 1724486 2042408 2051047 2586729 3063612 3448972 4102094 5173458 6127224 6153141 6897944 6927121 8204188 10346916 12306282 13854242 16408376 20693832 20781363 24612564 27708484 41562726 45698879 49225128 55416968 83125452 91397758 137096637 166250904 182795516 186413083 274193274 365591032 367137413 372826166 548386548 559239249 734274826 745652332 1096773096 1101412239 1118478498 1468549652 1491304664 2202824478 2236956996 2937099304 4405648956 4473913992 8811297912 9879893399 19759786798 29639680197 33367941857 39519573596 59279360394 66735883714 79039147192 100103825571 118558720788 133471767428 200207651142 237117441576 266943534856 400415302284 800830604568 1768500918421 3537001836842 5305502755263 7074003673684 10611005510526 14148007347368 21222011021052 42444022042104