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1144020001432 = 237211647410063
BaseRepresentation
bin10000101001011100111…
…001111110001010011000
311001100220201110112111011
4100221130321332022120
5122220423110021212
62233315554543304
7145436611365100
oct20513471761230
94040821415434
101144020001432
114011a3514670
12165875b97b34
1383b5a9631b9
143d529914200
151eb5a35e4a7
hex10a5ce7e298

1144020001432 has 96 divisors (see below), whose sum is σ = 2726302302720. Its totient is φ = 445032087360.

The previous prime is 1144020001409. The next prime is 1144020001441. The reversal of 1144020001432 is 2341000204411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2584833 + ... + 2994895.

It is an arithmetic number, because the mean of its divisors is an integer number (28398982320).

Almost surely, 21144020001432 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 1144020001432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363151151360).

1144020001432 is an abundant number, since it is smaller than the sum of its proper divisors (1582282301288).

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

1144020001432 is a wasteful number, since it uses less digits than its factorization.

1144020001432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410741 (or 410730 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1144020001432 its reverse (2341000204411), we get a palindrome (3485020205843).

The spelling of 1144020001432 in words is "one trillion, one hundred forty-four billion, twenty million, one thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 539 616 647 1078 1294 2156 2588 4312 4529 5176 7117 9058 14234 18116 28468 31703 36232 49819 56936 63406 99638 126812 199276 253624 348733 398552 410063 697466 820126 1394932 1640252 2789864 2870441 3280504 4510693 5740882 9021386 11481764 18042772 20093087 22963528 31574851 36085544 40186174 63149702 80372348 126299404 160744696 221023957 252598808 265310761 442047914 530621522 884095828 1061243044 1768191656 1857175327 2122486088 2918418371 3714350654 5836836742 7428701308 11673673484 13000227289 14857402616 20428928597 23347346968 26000454578 40857857194 52000909156 81715714388 104001818312 143002500179 163431428776 286005000358 572010000716 1144020001432