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42514302320 = 2457106371419
BaseRepresentation
bin100111100110000011…
…001100010101110000
311001201220011022212122
4213212003030111300
51144032130133240
631310353013412
73033354415160
oct474603142560
9131656138778
1042514302320
1117037240646
1282a5b54268
134016c4b909
1420b44a25a0
15118c5da4b5
hex9e60cc570

42514302320 has 80 divisors (see below), whose sum is σ = 113074429440. Its totient is φ = 14562415872.

The previous prime is 42514302293. The next prime is 42514302343. The reversal of 42514302320 is 2320341524.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 42514302320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559571 + ... + 630989.

It is an arithmetic number, because the mean of its divisors is an integer number (1413430368).

Almost surely, 242514302320 is an apocalyptic number.

42514302320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42514302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56537214720).

42514302320 is an abundant number, since it is smaller than the sum of its proper divisors (70560127120).

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

42514302320 is a wasteful number, since it uses less digits than its factorization.

42514302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72502 (or 72496 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 42514302320 its reverse (2320341524), we get a palindrome (44834643844).

The spelling of 42514302320 in words is "forty-two billion, five hundred fourteen million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1063 2126 4252 5315 7441 8504 10630 14882 17008 21260 29764 37205 42520 59528 71419 74410 85040 119056 142838 148820 285676 297640 357095 499933 571352 595280 714190 999866 1142704 1428380 1999732 2499665 2856760 3999464 4999330 5713520 7998928 9998660 19997320 39994640 75918397 151836794 303673588 379591985 531428779 607347176 759183970 1062857558 1214694352 1518367940 2125715116 2657143895 3036735880 4251430232 5314287790 6073471760 8502860464 10628575580 21257151160 42514302320