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202043233241344 = 2811791098332169
BaseRepresentation
bin101101111100000111011011…
…001001011000100100000000
3222111101010220022110010100101
4231330013123021120210000
5202440234020202210334
61553413214024532144
760362066445312145
oct5574073311304400
9874333808403311
10202043233241344
11594170659aa260
121a7b13ba021054
1388977976b2761
1437c6d322403cc
15185591c81b214
hexb7c1db258900

202043233241344 has 144 divisors (see below), whose sum is σ = 449617224672000. Its totient is φ = 89843434536960.

The previous prime is 202043233241327. The next prime is 202043233241347. The reversal of 202043233241344 is 443142332340202.

It is a super-2 number, since 2×2020432332413442 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202043233241347) 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, 20082492 + ... + 28414660.

It is an arithmetic number, because the mean of its divisors is an integer number (3122341838000).

Almost surely, 2202043233241344 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 202043233241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224808612336000).

202043233241344 is an abundant number, since it is smaller than the sum of its proper divisors (247573991430656).

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

202043233241344 is a wasteful number, since it uses less digits than its factorization.

202043233241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8332384 (or 8332370 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 37.

Adding to 202043233241344 its reverse (443142332340202), we get a palindrome (645185565581546).

The spelling of 202043233241344 in words is "two hundred two trillion, forty-three billion, two hundred thirty-three million, two hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 109 128 158 176 218 256 316 352 436 632 704 869 872 1199 1264 1408 1738 1744 2398 2528 2816 3476 3488 4796 5056 6952 6976 8611 9592 10112 13904 13952 17222 19184 20224 27808 27904 34444 38368 55616 68888 76736 94721 111232 137776 153472 189442 222464 275552 306944 378884 551104 757768 1102208 1515536 2204416 3031072 6062144 8332169 12124288 16664338 24248576 33328676 66657352 91653859 133314704 183307718 266629408 366615436 533258816 658241351 733230872 908206421 1066517632 1316482702 1466461744 1816412842 2133035264 2632965404 2932923488 3632825684 5265930808 5865846976 7240654861 7265651368 9990270631 10531861616 11731693952 14481309722 14531302736 19980541262 21063723232 23463387904 28962619444 29062605472 39961082524 42127446464 57925238888 58125210944 71748307259 79922165048 84254892928 115850477776 116250421888 143496614518 159844330096 168509785856 231700955552 232500843776 286993229036 319688660192 463401911104 573986458072 639377320384 789231379849 926803822208 1147972916144 1278754640768 1578462759698 1853607644416 2295945832288 2557509281536 3156925519396 4591891664576 6313851038792 9183783329152 12627702077584 18367566658304 25255404155168 50510808310336 101021616620672 202043233241344