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2023344414140 = 2257113719177883
BaseRepresentation
bin11101011100011000101…
…110011001110110111100
321011102121100110221221012
4131130120232121312330
5231122302132223030
64145302300454352
7266116234515350
oct35343056316674
97142540427835
102023344414140
1171010619a735
12288179b4a3b8
13118a53aa208a
146dd04dd3460
1537972671095
hex1d718b99dbc

2023344414140 has 96 divisors (see below), whose sum is σ = 4905841489920. Its totient is φ = 686618827776.

The previous prime is 2023344414127. The next prime is 2023344414163. The reversal of 2023344414140 is 414144433202.

It is a junction number, because it is equal to n+sod(n) for n = 2023344414097 and 2023344414106.

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, 11285639 + ... + 11463521.

It is an arithmetic number, because the mean of its divisors is an integer number (51102515520).

Almost surely, 22023344414140 is an apocalyptic number.

2023344414140 is a gapful number since it is divisible by the number (20) 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 2023344414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452920744960).

2023344414140 is an abundant number, since it is smaller than the sum of its proper divisors (2882497075780).

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

2023344414140 is a wasteful number, since it uses less digits than its factorization.

2023344414140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178731 (or 178729 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 2023344414140 its reverse (414144433202), we get a palindrome (2437488847342).

The spelling of 2023344414140 in words is "two trillion, twenty-three billion, three hundred forty-four million, four hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 113 140 226 452 565 719 791 1130 1438 1582 2260 2876 3164 3595 3955 5033 7190 7910 10066 14380 15820 20132 25165 50330 81247 100660 162494 177883 324988 355766 406235 568729 711532 812470 889415 1137458 1245181 1624940 1778830 2274916 2490362 2843645 3557660 4980724 5687290 6225905 11374580 12451810 20100779 24903620 40201558 80403116 100503895 127897877 140705453 201007790 255795754 281410906 402015580 511591508 562821812 639489385 703527265 895285139 1278978770 1407054530 1790570278 2557957540 2814109060 3581140556 4476425695 8952851390 14452460101 17905702780 28904920202 57809840404 72262300505 101167220707 144524601010 202334441414 289049202020 404668882828 505836103535 1011672207070 2023344414140