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1244143010432 = 27771122915913
BaseRepresentation
bin10010000110101100101…
…100111100001010000000
311101221100110120101100202
4102012230230330022000
5130341001102313212
62351315034304332
7155613011046320
oct22065454741200
94357313511322
101244143010432
1143a7023271a3
12181158b880a8
1390425ab131a
1444307035280
152256a2960c2
hex121acb3c280

1244143010432 has 128 divisors (see below), whose sum is σ = 2875061433600. Its totient is φ = 525233479680.

The previous prime is 1244143010413. The next prime is 1244143010437. The reversal of 1244143010432 is 2340103414421.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1244143010395 and 1244143010404.

It is not an unprimeable number, because it can be changed into a prime (1244143010437) 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, 78176108 + ... + 78192020.

It is an arithmetic number, because the mean of its divisors is an integer number (22461417450).

Almost surely, 21244143010432 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 1244143010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437530716800).

1244143010432 is an abundant number, since it is smaller than the sum of its proper divisors (1630918423168).

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

1244143010432 is a wasteful number, since it uses less digits than its factorization.

1244143010432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17234 (or 17222 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 1244143010432 its reverse (2340103414421), we get a palindrome (3584246424853).

The spelling of 1244143010432 in words is "one trillion, two hundred forty-four billion, one hundred forty-three million, ten thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 128 142 224 284 448 497 568 896 994 1136 1229 1988 2272 2458 3976 4544 4916 7952 8603 9088 9832 15904 15913 17206 19664 31808 31826 34412 39328 63616 63652 68824 78656 87259 111391 127304 137648 157312 174518 222782 254608 275296 349036 445564 509216 550592 610813 698072 891128 1018432 1101184 1129823 1221626 1396144 1782256 2036864 2259646 2443252 2792288 3564512 4519292 4886504 5584576 7129024 7908761 9038584 9773008 11169152 14258048 15817522 18077168 19546016 19557077 31635044 36154336 39092032 39114154 63270088 72308672 78184064 78228308 126540176 136899539 144617344 156456616 253080352 273799078 312913232 506160704 547598156 625826464 1012321408 1095196312 1251652928 1388552467 2190392624 2503305856 2777104934 4380785248 5554209868 8761570496 9719867269 11108419736 17523140992 19439734538 22216839472 38879469076 44433678944 77758938152 88867357888 155517876304 177734715776 311035752608 622071505216 1244143010432