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354342139424 = 25713182366749
BaseRepresentation
bin1010010100000000110…
…11111111011000100000
31020212121201020201212122
411022000123333120200
521301143041430144
6430441005443412
734412633326610
oct5120033773040
91225551221778
10354342139424
11127303999a29
1258810570568
13275503533b0
1413216408a40
15933d35d7ee
hex52806ff620

354342139424 has 96 divisors (see below), whose sum is σ = 859082112000. Its totient is φ = 140100314112.

The previous prime is 354342139409. The next prime is 354342139451. The reversal of 354342139424 is 424931243453.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5275202 + ... + 5341950.

It is an arithmetic number, because the mean of its divisors is an integer number (8948772000).

Almost surely, 2354342139424 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 354342139424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429541056000).

354342139424 is an abundant number, since it is smaller than the sum of its proper divisors (504739972576).

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

354342139424 is a wasteful number, since it uses less digits than its factorization.

354342139424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68602 (or 68594 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 44.

The spelling of 354342139424 in words is "three hundred fifty-four billion, three hundred forty-two million, one hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 1823 2912 3646 7292 12761 14584 23699 25522 29168 47398 51044 58336 66749 94796 102088 133498 165893 189592 204176 266996 331786 379184 408352 467243 533992 663572 758368 867737 934486 1067984 1327144 1735474 1868972 2135968 2654288 3470948 3737944 5308576 6074159 6941896 7475888 12148318 13883792 14951776 24296636 27767584 48593272 97186544 121683427 194373088 243366854 486733708 851783989 973467416 1581884551 1703567978 1946934832 3163769102 3407135956 3893869664 6327538204 6814271912 11073191857 12655076408 13628543824 22146383714 25310152816 27257087648 44292767428 50620305632 88585534856 177171069712 354342139424