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42442014120 = 23351132153041
BaseRepresentation
bin100111100001101111…
…011011110110101000
311001112212010201002220
4213201233123312220
51143410123422440
631255251354040
73031516111332
oct474157336650
9131485121086
1042442014120
1116aaa457430
1282858b2920
134004c8b72c
1420a8a46452
1511860ab8d0
hex9e1bdbda8

42442014120 has 64 divisors (see below), whose sum is σ = 138901141440. Its totient is φ = 10288972800.

The previous prime is 42442014101. The next prime is 42442014127. The reversal of 42442014120 is 2141024424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42442014127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16075201 + ... + 16077840.

It is an arithmetic number, because the mean of its divisors is an integer number (2170330335).

Almost surely, 242442014120 is an apocalyptic number.

42442014120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42442014120 is an abundant number, since it is smaller than the sum of its proper divisors (96459127320).

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

42442014120 is a wasteful number, since it uses less digits than its factorization.

42442014120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32153066 (or 32153062 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 42442014120 its reverse (2141024424), we get a palindrome (44583038544).

The spelling of 42442014120 in words is "forty-two billion, four hundred forty-two million, fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 32153041 64306082 96459123 128612164 160765205 192918246 257224328 321530410 353683451 385836492 482295615 643060820 707366902 771672984 964591230 1061050353 1286121640 1414733804 1768417255 1929182460 2122100706 2829467608 3536834510 3858364920 4244201412 5305251765 7073669020 8488402824 10610503530 14147338040 21221007060 42442014120