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1140404313204 = 2232132316959149
BaseRepresentation
bin10000100110000101011…
…001001101110001110100
311001000120201220112200100
4100212011121031301310
5122141022001010304
62231521114114100
7145251165503022
oct20460531156164
94030521815610
101140404313204
113aa708560582
1216502711b930
138370284c400
143d2a563d712
151e9e7bee439
hex1098564dc74

1140404313204 has 108 divisors (see below), whose sum is σ = 3122529091500. Its totient is φ = 350776977408.

The previous prime is 1140404313193. The next prime is 1140404313211. The reversal of 1140404313204 is 4023134040411.

1140404313204 is a `hidden beast` number, since 1 + 1 + 40 + 404 + 3 + 13 + 204 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 21844248804 + 1118560064400 = 147798^2 + 1057620^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19250622 + ... + 19309770.

Almost surely, 21140404313204 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 1140404313204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561264545750).

1140404313204 is an abundant number, since it is smaller than the sum of its proper divisors (1982124778296).

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

1140404313204 is a wasteful number, since it uses less digits than its factorization.

1140404313204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62354 (or 62336 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1140404313204 its reverse (4023134040411), we get a palindrome (5163538353615).

It can be divided in two parts, 114040 and 4313204, that added together give a palindrome (4427244).

The spelling of 1140404313204 in words is "one trillion, one hundred forty billion, four hundred four million, three hundred thirteen thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 3169 6084 6338 9507 12676 19014 28521 38028 41197 57042 59149 82394 114084 118298 123591 164788 177447 236596 247182 354894 370773 494364 532341 535561 709788 741546 768937 1064682 1071122 1483092 1537874 1606683 2129364 2142244 2306811 3075748 3213366 4613622 4820049 6426732 6920433 9227244 9640098 9996181 13840866 19280196 19992362 27681732 29988543 39984724 59977086 89965629 119954172 179931258 187443181 359862516 374886362 562329543 749772724 1124659086 1686988629 2249318172 2436761353 3373977258 4873522706 6747954516 7310284059 9747045412 14620568118 21930852177 29241136236 31677897589 43861704354 63355795178 87723408708 95033692767 126711590356 190067385534 285101078301 380134771068 570202156602 1140404313204