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34141104413442 = 2331349939740447
BaseRepresentation
bin1111100001101000110000…
…11001101001101100000010
311110212212011021020100121000
413300310120121221230002
513433331440212212232
6200340112402312430
710122420252206025
oct760643031515402
9143785137210530
1034141104413442
11a973185425a44
1239b4936958716
131608652864440
1486061c8851bc
153e314d90e27c
hex1f0d18669b02

34141104413442 has 64 divisors (see below), whose sum is σ = 81721579484160. Its totient is φ = 10502850189312.

The previous prime is 34141104413431. The next prime is 34141104413459. The reversal of 34141104413442 is 24431440114143.

34141104413442 is a `hidden beast` number, since 3 + 4 + 141 + 1 + 0 + 441 + 34 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34141104413397 and 34141104413406.

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, 1365138 + ... + 8375309.

It is an arithmetic number, because the mean of its divisors is an integer number (1276899679440).

Almost surely, 234141104413442 is an apocalyptic number.

34141104413442 is an abundant number, since it is smaller than the sum of its proper divisors (47580475070718).

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

34141104413442 is a wasteful number, since it uses less digits than its factorization.

34141104413442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9745464 (or 9745458 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 34141104413442 its reverse (24431440114143), we get a palindrome (58572544527585).

The spelling of 34141104413442 in words is "thirty-four trillion, one hundred forty-one billion, one hundred four million, four hundred thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 4993 9986 14979 29958 44937 64909 89874 129818 134811 194727 269622 389454 584181 1168362 1752543 3505086 9740447 19480894 29221341 58442682 87664023 126625811 175328046 253251622 262992069 379877433 525984138 759754866 1139632299 2279264598 3418896897 6837793794 48634051871 97268103742 145902155613 291804311226 437706466839 632242674323 875412933678 1264485348646 1313119400517 1896728022969 2626238801034 3793456045938 5690184068907 11380368137814 17070552206721 34141104413442