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42345244104 = 23317212914729
BaseRepresentation
bin100111011011111110…
…010010010111001000
311001022010001021121020
4213123332102113020
51143210340302404
631241513312440
73026232431112
oct473376222710
9131263037536
1042345244104
1116a5a871709
128259405720
133cbac09177
142099c563b2
15117c843ed9
hex9dbf925c8

42345244104 has 96 divisors (see below), whose sum is σ = 112567567200. Its totient is φ = 13271685120.

The previous prime is 42345244103. The next prime is 42345244129. The reversal of 42345244104 is 40144254324.

It is not an unprimeable number, because it can be changed into a prime (42345244103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8952012 + ... + 8956740.

It is an arithmetic number, because the mean of its divisors is an integer number (1172578825).

Almost surely, 242345244104 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 42345244104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56283783600).

42345244104 is an abundant number, since it is smaller than the sum of its proper divisors (70222323096).

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

42345244104 is a wasteful number, since it uses less digits than its factorization.

42345244104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6063 (or 6042 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 42345244104 its reverse (40144254324), we get a palindrome (82489498428).

The spelling of 42345244104 in words is "forty-two billion, three hundred forty-five million, two hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 867 1156 1291 1734 2312 2582 3468 3873 4729 5164 6936 7746 9458 10328 14187 15492 18916 21947 28374 30984 37832 43894 56748 65841 80393 87788 113496 131682 160786 175576 241179 263364 321572 373099 482358 526728 643144 746198 964716 1119297 1366681 1492396 1929432 2238594 2733362 2984792 4100043 4477188 5466724 6105139 8200086 8954376 10933448 12210278 16400172 18315417 24420556 32800344 36630834 48841112 73261668 103787363 146523336 207574726 311362089 415149452 622724178 830298904 1245448356 1764385171 2490896712 3528770342 5293155513 7057540684 10586311026 14115081368 21172622052 42345244104