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1134144603042 = 2311791818831361
BaseRepresentation
bin10000100000010000010…
…010010100001110100010
311000102102111011022122020
4100200100102110032202
5122040212004244132
62225004022522310
7144640106031123
oct20402022241642
94012374138566
101134144603042
113a7a960746a0
1216397a896396
1382c45a212b9
143cc7014804a
151e77d3b552c
hex108104943a2

1134144603042 has 128 divisors (see below), whose sum is σ = 2524371333120. Its totient is φ = 336825216000.

The previous prime is 1134144603041. The next prime is 1134144603077. The reversal of 1134144603042 is 2403064414311.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1134144602994 and 1134144603012.

It is not an unprimeable number, because it can be changed into a prime (1134144603041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 833316442 + ... + 833317802.

It is an arithmetic number, because the mean of its divisors is an integer number (19721651040).

Almost surely, 21134144603042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134144603042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262185666560).

1134144603042 is an abundant number, since it is smaller than the sum of its proper divisors (1390226730078).

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

1134144603042 is a wasteful number, since it uses less digits than its factorization.

1134144603042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520.

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 1134144603042 in words is "one trillion, one hundred thirty-four billion, one hundred forty-four million, six hundred three thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 79 158 181 237 362 474 543 869 883 1086 1361 1738 1766 1991 2607 2649 2722 3982 4083 5214 5298 5973 8166 9713 11946 14299 14971 19426 28598 29139 29942 42897 44913 58278 69757 85794 89826 107519 139514 157289 159823 209271 215038 246341 314578 319646 322557 418542 471867 479469 492682 645114 739023 767327 943734 958938 1182709 1201763 1478046 1534654 1758053 2301981 2365418 2403526 2709751 3516106 3548127 3605289 4603962 5274159 5419502 7096254 7210578 8129253 10548318 12626017 13219393 16258506 19460939 25252034 26438786 37878051 38921878 39658179 58382817 75756102 79316358 94939277 116765634 138886187 189878554 214070329 217519103 277772374 284817831 416658561 428140658 435038206 569635662 642210987 652557309 833317122 1044332047 1284421974 1305114618 2088664094 2392710133 3132996141 4785420266 6265992282 7178130399 14356260798 17184009137 34368018274 51552027411 103104054822 189024100507 378048201014 567072301521 1134144603042