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14120210003440 = 2451013643479701
BaseRepresentation
bin1100110101111001111000…
…0110011111010111110000
31211222212201201020211211011
43031132132012133113300
53322321142230102230
650010422424400304
72655102652462642
oct315363606372760
954885651224734
1014120210003440
114554390485472
121700711916094
137b56b77b88b8
1436b5c963c892
15197474536e2a
hexcd79e19f5f0

14120210003440 has 80 divisors (see below), whose sum is σ = 33163702717536. Its totient is φ = 5590615680000.

The previous prime is 14120210003423. The next prime is 14120210003443. The reversal of 14120210003440 is 4430001202141.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14120210003443) 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, 29195590 + ... + 29675290.

Almost surely, 214120210003440 is an apocalyptic number.

14120210003440 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 14120210003440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16581851358768).

14120210003440 is an abundant number, since it is smaller than the sum of its proper divisors (19043492714096).

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

14120210003440 is a wasteful number, since it uses less digits than its factorization.

14120210003440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483458 (or 483452 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 14120210003440 its reverse (4430001202141), we get a palindrome (18550211205581).

The spelling of 14120210003440 in words is "fourteen trillion, one hundred twenty billion, two hundred ten million, three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 3643 4040 7286 8080 14572 18215 29144 36430 58288 72860 145720 291440 367943 479701 735886 959402 1471772 1839715 1918804 2398505 2943544 3679430 3837608 4797010 5887088 7358860 7675216 9594020 14717720 19188040 29435440 38376080 48449801 96899602 193799204 242249005 387598408 484498010 775196816 968996020 1747550743 1937992040 3495101486 3875984080 6990202972 8737753715 13980405944 17475507430 27960811888 34951014860 69902029720 139804059440 176502625043 353005250086 706010500172 882513125215 1412021000344 1765026250430 2824042000688 3530052500860 7060105001720 14120210003440