Search a number
-
+
14314503240 = 23325291371121
BaseRepresentation
bin11010101010011010…
…11111110001001000
31100221121021002220200
431111031133301020
5213304003100430
610324225252200
71014504161412
oct152515376110
940847232820
1014314503240
116086189174
122935a94060
13147181717b
1499b1839b2
1558ba59460
hex35535fc48

14314503240 has 96 divisors (see below), whose sum is σ = 48126382200. Its totient is φ = 3685570560.

The previous prime is 14314503187. The next prime is 14314503257. The reversal of 14314503240 is 4230541341.

It is a happy number.

14314503240 is a `hidden beast` number, since 143 + 1 + 450 + 32 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10555096644 + 3759406596 = 102738^2 + 61314^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 675121 + ... + 696000.

Almost surely, 214314503240 is an apocalyptic number.

14314503240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14314503240 is an abundant number, since it is smaller than the sum of its proper divisors (33811878960).

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

14314503240 is a wasteful number, since it uses less digits than its factorization.

14314503240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371167 (or 1371160 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 14314503240 in words is "fourteen billion, three hundred fourteen million, five hundred three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 10440 1371121 2742242 4113363 5484484 6855605 8226726 10968968 12340089 13711210 16453452 20566815 24680178 27422420 32906904 39762509 41133630 49360356 54844840 61700445 79525018 82267260 98720712 119287527 123400890 159050036 164534520 198812545 238575054 246801780 318100072 357862581 397625090 477150108 493603560 596437635 715725162 795250180 954300216 1192875270 1431450324 1590500360 1789312905 2385750540 2862900648 3578625810 4771501080 7157251620 14314503240