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14404345340 = 22571171913009
BaseRepresentation
bin11010110101001000…
…01101110111111100
31101011212022120002212
431122210031313330
5214000003022330
610341155035552
71016644625630
oct153244156774
941155276085
1014404345340
116121971940
12295bb9bbb8
131487312288
149a908cdc0
155948a4295
hex35a90ddfc

14404345340 has 96 divisors (see below), whose sum is σ = 37768550400. Its totient is φ = 4483077120.

The previous prime is 14404345321. The next prime is 14404345357. The reversal of 14404345340 is 4354340441.

It is a junction number, because it is equal to n+sod(n) for n = 14404345297 and 14404345306.

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, 1100756 + ... + 1113764.

It is an arithmetic number, because the mean of its divisors is an integer number (393422400).

Almost surely, 214404345340 is an apocalyptic number.

14404345340 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 14404345340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18884275200).

14404345340 is an abundant number, since it is smaller than the sum of its proper divisors (23364205060).

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

14404345340 is a wasteful number, since it uses less digits than its factorization.

14404345340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13755 (or 13753 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 14404345340 its reverse (4354340441), we get a palindrome (18758685781).

The spelling of 14404345340 in words is "fourteen billion, four hundred four million, three hundred forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 719 770 1438 1540 2876 3595 5033 7190 7909 10066 13009 14380 15818 20132 25165 26018 31636 39545 50330 52036 55363 65045 79090 91063 100660 110726 130090 143099 158180 182126 221452 260180 276815 286198 364252 455315 553630 572396 715495 910630 1001693 1107260 1430990 1821260 2003386 2861980 4006772 5008465 9353471 10016930 18706942 20033860 37413884 46767355 65474297 93534710 102888181 130948594 187069420 205776362 261897188 327371485 411552724 514440905 654742970 720217267 1028881810 1309485940 1440434534 2057763620 2880869068 3601086335 7202172670 14404345340