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2043332111440 = 2451091995032341
BaseRepresentation
bin11101101111000000000…
…101011010110001010000
321020100012022212012001101
4131233000011122301100
5231434221010031230
64202405510314144
7300424450242334
oct35570005326120
97210168765041
102043332111440
11718632786534
12290017958954
1311a8baa5ccb9
1470c7d7d57c4
15382422abaca
hex1dbc015ac50

2043332111440 has 160 divisors (see below), whose sum is σ = 4830065856000. Its totient is φ = 803819427840.

The previous prime is 2043332111413. The next prime is 2043332111477. The reversal of 2043332111440 is 441112333402.

It is a happy number.

It is a super-2 number, since 2×20433321114402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2043332111399 and 2043332111408.

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, 872844670 + ... + 872847010.

It is an arithmetic number, because the mean of its divisors is an integer number (30187911600).

Almost surely, 22043332111440 is an apocalyptic number.

2043332111440 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 2043332111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415032928000).

2043332111440 is an abundant number, since it is smaller than the sum of its proper divisors (2786733744560).

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

2043332111440 is a wasteful number, since it uses less digits than its factorization.

2043332111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 2043332111440 its reverse (441112333402), we get a palindrome (2484444444842).

The spelling of 2043332111440 in words is "two trillion, forty-three billion, three hundred thirty-two million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 199 218 398 436 503 545 796 872 995 1006 1090 1592 1744 1990 2012 2180 2341 2515 3184 3980 4024 4360 4682 5030 7960 8048 8720 9364 10060 11705 15920 18728 20120 21691 23410 37456 40240 43382 46820 54827 86764 93640 100097 108455 109654 173528 187280 200194 216910 219308 255169 274135 347056 400388 433820 438616 465859 500485 510338 548270 800776 867640 877232 931718 1000970 1020676 1096540 1177523 1275845 1601552 1735280 1863436 2001940 2041352 2193080 2329295 2355046 2551690 3726872 4003880 4082704 4386160 4658590 4710092 5103380 5887615 7453744 8007760 9317180 9420184 10206760 10910573 11775230 18634360 18840368 20413520 21821146 23550460 37268720 43642292 47100920 50778631 54552865 87284584 94201840 101557262 109105730 128350007 174569168 203114524 218211460 234327077 253893155 256700014 406229048 436422920 468654154 507786310 513400028 641750035 812458096 872845840 937308308 1015572620 1026800056 1171635385 1283500070 1874616616 2031145240 2053600112 2343270770 2567000140 3749233232 4062290480 4686541540 5134000280 9373083080 10268000560 18746166160 25541651393 51083302786 102166605572 127708256965 204333211144 255416513930 408666422288 510833027860 1021666055720 2043332111440