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14100121024 = 2611371075059
BaseRepresentation
bin11010010000110111…
…01100010111000000
31100101122212100210121
431020123230113000
5212334112333044
610251050310024
71006262023363
oct151033542700
940348770717
1014100121024
115a86172690
122896128314
1314392957a2
1497a8da0da
15577d0d984
hex3486ec5c0

14100121024 has 112 divisors (see below), whose sum is σ = 31647749760. Its totient is φ = 6176424960.

The previous prime is 14100120919. The next prime is 14100121033. The reversal of 14100121024 is 42012100141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 14100120989 and 14100121007.

It is a congruent number.

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, 2784607 + ... + 2789665.

Almost surely, 214100121024 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 14100121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15823874880).

14100121024 is an abundant number, since it is smaller than the sum of its proper divisors (17547628736).

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

14100121024 is a wasteful number, since it uses less digits than its factorization.

14100121024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5226 (or 5216 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 14100121024 its reverse (42012100141), we get a palindrome (56112221165).

The spelling of 14100121024 in words is "fourteen billion, one hundred million, one hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 107 148 176 214 296 352 407 428 592 704 814 856 1177 1184 1628 1712 2354 2368 3256 3424 3959 4708 5059 6512 6848 7918 9416 10118 13024 15836 18832 20236 26048 31672 37664 40472 43549 55649 63344 75328 80944 87098 111298 126688 161888 174196 187183 222596 253376 323776 348392 374366 445192 541313 696784 748732 890384 1082626 1393568 1497464 1780768 2059013 2165252 2787136 2994928 3561536 4118026 4330504 5954443 5989856 8236052 8661008 11908886 11979712 16472104 17322016 20028581 23817772 32944208 34644032 40057162 47635544 65888416 80114324 95271088 131776832 160228648 190542176 220314391 320457296 381084352 440628782 640914592 881257564 1281829184 1762515128 3525030256 7050060512 14100121024