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14744050944 = 283783173191
BaseRepresentation
bin11011011101101000…
…00101110100000000
31102001112112101120220
431232310011310000
5220143434112234
610435012103040
71031241236160
oct155664056400
942045471526
1014744050944
1162866a5777
122a35904a80
13150c8028cc
149dc23a5a0
155b4607a49
hex36ed05d00

14744050944 has 288 divisors, whose sum is σ = 45888159744. Its totient is φ = 4116111360.

The previous prime is 14744050913. The next prime is 14744050999. The reversal of 14744050944 is 44905044741.

It is a happy number.

It is a super-2 number, since 2×147440509442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14744050896 and 14744050905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77193889 + ... + 77194079.

It is an arithmetic number, because the mean of its divisors is an integer number (159333888).

Almost surely, 214744050944 is an apocalyptic number.

14744050944 is a gapful number since it is divisible by the number (14) 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 14744050944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22944079872).

14744050944 is an abundant number, since it is smaller than the sum of its proper divisors (31144108800).

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

14744050944 is a wasteful number, since it uses less digits than its factorization.

14744050944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 14744050944 in words is "fourteen billion, seven hundred forty-four million, fifty thousand, nine hundred forty-four".