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42344135130 = 23511239729383
BaseRepresentation
bin100111011011111010…
…000011100111011010
311001022000221221101010
4213123322003213122
51143210044311010
631241433434350
73026220132003
oct473372034732
9131260857333
1042344135130
1116a5a184500
128258b6b9b6
133cba90b47b
142099a481aa
15117c6c5620
hex9dbe839da

42344135130 has 96 divisors (see below), whose sum is σ = 111989711232. Its totient is φ = 10239039360.

The previous prime is 42344135101. The next prime is 42344135137. The reversal of 42344135130 is 3153144324.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42344135137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1426419 + ... + 1455801.

It is an arithmetic number, because the mean of its divisors is an integer number (1166559492).

Almost surely, 242344135130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42344135130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55994855616).

42344135130 is an abundant number, since it is smaller than the sum of its proper divisors (69645576102).

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

42344135130 is a wasteful number, since it uses less digits than its factorization.

42344135130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29812 (or 29801 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 42344135130 its reverse (3153144324), we get a palindrome (45497279454).

The spelling of 42344135130 in words is "forty-two billion, three hundred forty-four million, one hundred thirty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 397 605 726 794 1191 1210 1815 1985 2382 3630 3970 4367 5955 8734 11910 13101 21835 26202 29383 43670 48037 58766 65505 88149 96074 131010 144111 146915 176298 240185 288222 293830 323213 440745 480370 646426 720555 881490 969639 1441110 1616065 1939278 3232130 3555343 4848195 7110686 9696390 10666029 11665051 17776715 21332058 23330102 34995153 35553430 53330145 58325255 69990306 106660290 116650510 128315561 174975765 256631122 349951530 384946683 641577805 769893366 1283155610 1411471171 1924733415 2822942342 3849466830 4234413513 7057355855 8468827026 14114711710 21172067565 42344135130