Search a number
-
+
14101316749584 = 24323129312
BaseRepresentation
bin1100110100110011011111…
…1110011100100100010000
31211221001222000021002212100
43031030313332130210100
53322013444041441314
645554015552400400
72653533526460121
oct315146776344420
954831860232770
1014101316749584
114547375759189
1216b8b1a546100
137b39964b444c
1436a716330048
15196c1aa35c09
hexcd337f9c910

14101316749584 has 45 divisors (see below), whose sum is σ = 39464227848279. Its totient is φ = 4700423895840.

The previous prime is 14101316749577. The next prime is 14101316749613. The reversal of 14101316749584 is 48594761310141.

The square root of 14101316749584 is 3755172.

It is a perfect power (a square), and thus also a powerful number.

14101316749584 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 1 + 3 + 16 + 7 + 49 + 584 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14101316749584.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44905599 + ... + 45218529.

Almost surely, 214101316749584 is an apocalyptic number.

14101316749584 is the 3755172-nd square number.

It is an amenable number.

14101316749584 is an abundant number, since it is smaller than the sum of its proper divisors (25362911098695).

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

14101316749584 is an frugal number, since it uses more digits than its factorization.

14101316749584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625876 (or 312936 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 14101316749584 in words is "fourteen trillion, one hundred one billion, three hundred sixteen million, seven hundred forty-nine thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 312931 625862 938793 1251724 1877586 2503448 2816379 3755172 5006896 5632758 7510344 11265516 15020688 22531032 45062064 97925810761 195851621522 293777432283 391703243044 587554864566 783406486088 881332296849 1175109729132 1566812972176 1762664593698 2350219458264 3525329187396 4700438916528 7050658374792 14101316749584