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1135343235444 = 2231147432742293
BaseRepresentation
bin10000100001010111101…
…110101111000101110100
311000112112000121011011220
4100201113232233011310
5122100140332013234
62225323001430340
7145011602162205
oct20412756570564
94015460534156
101135343235444
113a8550726990
1216405419b3b0
13830a7157142
143cd453dd5ac
151e7ed730a49
hex10857baf174

1135343235444 has 96 divisors (see below), whose sum is σ = 2952205111296. Its totient is φ = 336637553280.

The previous prime is 1135343235427. The next prime is 1135343235511. The reversal of 1135343235444 is 4445323435311.

It is a junction number, because it is equal to n+sod(n) for n = 1135343235396 and 1135343235405.

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, 26823562 + ... + 26865854.

It is an arithmetic number, because the mean of its divisors is an integer number (30752136576).

Almost surely, 21135343235444 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 1135343235444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476102555648).

1135343235444 is an abundant number, since it is smaller than the sum of its proper divisors (1816861875852).

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

1135343235444 is a wasteful number, since it uses less digits than its factorization.

1135343235444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46685 (or 46683 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 42.

The spelling of 1135343235444 in words is "one trillion, one hundred thirty-five billion, three hundred forty-three million, two hundred thirty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 1034 1551 2068 3102 4327 6204 8654 12981 17308 25962 42293 47597 51924 84586 95194 126879 142791 169172 190388 203369 253758 285582 406738 465223 507516 571164 610107 813476 930446 1220214 1395669 1860892 1987771 2237059 2440428 2791338 3975542 4474118 5582676 5963313 6711177 7951084 8948236 11926626 13422354 21865481 23853252 26844708 43730962 65596443 87461924 131192886 183001811 262385772 366003622 549005433 732007244 1098010866 2013019921 2196021732 4026039842 6039059763 8052079684 8601085117 12078119526 17202170234 24156239052 25803255351 34404340468 51606510702 94611936287 103213021404 189223872574 283835808861 378447745148 567671617722 1135343235444