Search a number
-
+
14377714688 = 210314111047
BaseRepresentation
bin11010110001111101…
…01000010000000000
31101010000012120201102
431120332220100000
5213421143332223
610334404153532
71016202362351
oct153076502000
941100176642
1014377714688
116108932937
1229530988a8
131481949aac
149a5719d28
15592393928
hex358fa8400

14377714688 has 88 divisors (see below), whose sum is σ = 30394904064. Its totient is φ = 6786662400.

The previous prime is 14377714649. The next prime is 14377714697. The reversal of 14377714688 is 88641777341.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1295981 + ... + 1307027.

Almost surely, 214377714688 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 14377714688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15197452032).

14377714688 is an abundant number, since it is smaller than the sum of its proper divisors (16017189376).

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

14377714688 is a wasteful number, since it uses less digits than its factorization.

14377714688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11139 (or 11121 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 56.

The spelling of 14377714688 in words is "fourteen billion, three hundred seventy-seven million, seven hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 128 164 248 256 328 496 512 656 992 1024 1271 1312 1984 2542 2624 3968 5084 5248 7936 10168 10496 11047 15872 20336 20992 22094 31744 40672 41984 44188 81344 88376 162688 176752 325376 342457 353504 452927 650752 684914 707008 905854 1301504 1369828 1414016 1811708 2739656 2828032 3623416 5479312 5656064 7246832 10958624 11312128 14040737 14493664 21917248 28081474 28987328 43834496 56162948 57974656 87668992 112325896 115949312 175337984 224651792 231898624 350675968 449303584 463797248 898607168 1797214336 3594428672 7188857344 14377714688