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14742340360 = 235112310611373
BaseRepresentation
bin11011011101011011…
…00100001100001000
31102001102022111002221
431232231210030020
5220143014342420
610434511303424
71031220553066
oct155655441410
942042274087
1014742340360
116285737570
122a3521ab74
13150c354127
149dbd13036
155b43bacaa
hex36eb64308

14742340360 has 128 divisors (see below), whose sum is σ = 37822152960. Its totient is φ = 5119206400.

The previous prime is 14742340271. The next prime is 14742340363. The reversal of 14742340360 is 6304324741.

It is not an unprimeable number, because it can be changed into a prime (14742340363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10736634 + ... + 10738006.

It is an arithmetic number, because the mean of its divisors is an integer number (295485570).

Almost surely, 214742340360 is an apocalyptic number.

14742340360 is a gapful number since it is divisible by the number (10) 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 14742340360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18911076480).

14742340360 is an abundant number, since it is smaller than the sum of its proper divisors (23079812600).

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

14742340360 is a wasteful number, since it uses less digits than its factorization.

14742340360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The spelling of 14742340360 in words is "fourteen billion, seven hundred forty-two million, three hundred forty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1061 1265 1373 2024 2122 2530 2746 4244 5060 5305 5492 6865 8488 10120 10610 10984 11671 13730 15103 21220 23342 24403 27460 30206 31579 42440 46684 48806 54920 58355 60412 63158 75515 93368 97612 116710 120824 122015 126316 151030 157895 195224 233420 244030 252632 268433 302060 315790 347369 466840 488060 536866 604120 631580 694738 976120 1073732 1263160 1342165 1389476 1456753 1736845 2147464 2684330 2778952 2913506 3473690 5368660 5827012 6947380 7283765 10737320 11654024 13894760 14567530 16024283 29135060 32048566 33505319 58270120 64097132 67010638 80121415 128194264 134021276 160242830 167526595 268042552 320485660 335053190 368558509 640971320 670106380 737117018 1340212760 1474234036 1842792545 2948468072 3685585090 7371170180 14742340360