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14042155440 = 2435307190583
BaseRepresentation
bin11010001001111101…
…00100100110110000
31100020121210101222010
431010332210212300
5212224242433230
610241220042520
71004656231455
oct150476444660
940217711863
1014042155440
115a56481245
12287a833440
13142a27b821
14972d2b82c
15572bad9b0
hex344fa49b0

14042155440 has 80 divisors (see below), whose sum is σ = 43672704768. Its totient is φ = 3732357888.

The previous prime is 14042155423. The next prime is 14042155483. The reversal of 14042155440 is 4455124041.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×140421554403 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14042155398 and 14042155407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21612 + ... + 168971.

Almost surely, 214042155440 is an apocalyptic number.

14042155440 is a gapful number since it is divisible by the number (10) 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 14042155440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21836352384).

14042155440 is an abundant number, since it is smaller than the sum of its proper divisors (29630549328).

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

14042155440 is a wasteful number, since it uses less digits than its factorization.

14042155440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190906 (or 190900 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 14042155440 its reverse (4455124041), we get a palindrome (18497279481).

The spelling of 14042155440 in words is "fourteen billion, forty-two million, one hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 307 614 921 1228 1535 1842 2456 3070 3684 4605 4912 6140 7368 9210 12280 14736 18420 24560 36840 73680 190583 381166 571749 762332 952915 1143498 1524664 1905830 2286996 2858745 3049328 3811660 4573992 5717490 7623320 9147984 11434980 15246640 22869960 45739920 58508981 117017962 175526943 234035924 292544905 351053886 468071848 585089810 702107772 877634715 936143696 1170179620 1404215544 1755269430 2340359240 2808431088 3510538860 4680718480 7021077720 14042155440