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14044140024 = 2333785318541
BaseRepresentation
bin11010001010001100…
…01001000111111000
31100020202112020022020
431011012021013320
5212230244440044
610241330354440
71005012135435
oct150506110770
940222466266
1014044140024
115a576072a2
12287b42ba20
13142a7c4c35
149732c6b8c
15572e51a19
hex3451891f8

14044140024 has 64 divisors (see below), whose sum is σ = 36103499040. Its totient is φ = 4549271040.

The previous prime is 14044140023. The next prime is 14044140029. The reversal of 14044140024 is 42004144041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 14044139976 and 14044140003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14044140023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 748194 + ... + 766734.

Almost surely, 214044140024 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 14044140024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18051749520).

14044140024 is an abundant number, since it is smaller than the sum of its proper divisors (22059359016).

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

14044140024 is a wasteful number, since it uses less digits than its factorization.

14044140024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19440 (or 19436 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14044140024 its reverse (42004144041), we get a palindrome (56048284065).

The spelling of 14044140024 in words is "fourteen billion, forty-four million, one hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 853 888 1706 2559 3412 5118 6824 10236 18541 20472 31561 37082 55623 63122 74164 94683 111246 126244 148328 189366 222492 252488 378732 444984 686017 757464 1372034 2058051 2744068 4116102 5488136 8232204 15815473 16464408 31630946 47446419 63261892 94892838 126523784 189785676 379571352 585172501 1170345002 1755517503 2340690004 3511035006 4681380008 7022070012 14044140024