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1140781064031 = 327234157133629
BaseRepresentation
bin10000100110011011110…
…110011001111101011111
311001001112222211110122200
4100212123312121331133
5122142304423022111
62232022333142543
7145263422023650
oct20463366317537
94031488743580
101140781064031
113aa891196aa4
1216511132aa53
13837629106ab
143d2dd6b1527
151ea1ad1e256
hex1099bd99f5f

1140781064031 has 96 divisors (see below), whose sum is σ = 2016586091520. Its totient is φ = 607240972800.

The previous prime is 1140781064023. The next prime is 1140781064063. The reversal of 1140781064031 is 1304601870411.

1140781064031 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 7 + 8 + 1 + 0 + 640 + 3 + 1 = 666.

It is not a de Polignac number, because 1140781064031 - 23 = 1140781064023 is a prime.

It is a super-2 number, since 2×11407810640312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140781064011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33905725 + ... + 33939353.

It is an arithmetic number, because the mean of its divisors is an integer number (21006105120).

Almost surely, 21140781064031 is an apocalyptic number.

1140781064031 is a deficient number, since it is larger than the sum of its proper divisors (875805027489).

1140781064031 is a wasteful number, since it uses less digits than its factorization.

1140781064031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34277 (or 34274 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1140781064031 in words is "one trillion, one hundred forty billion, seven hundred eighty-one million, sixty-four thousand, thirty-one".

Divisors: 1 3 7 9 21 23 41 63 69 123 161 207 287 369 483 571 861 943 1449 1713 2583 2829 3997 5139 6601 8487 11991 13133 19803 23411 33629 35973 39399 59409 70233 91931 100887 118197 163877 210699 235403 275793 302661 491631 538453 706209 773467 827379 1378789 1474893 1615359 2118627 2320401 3769171 4136367 4846077 5414269 6961203 9651523 11307513 12409101 16242807 19202159 28954569 31712147 33922539 48728421 57606477 86863707 95136441 134415113 172819431 221985029 285409323 403245339 441649657 665955087 787288519 1209736017 1324948971 1997865261 2361865557 3091547599 3974846913 5511019633 7085596671 9274642797 16533058899 18107635937 27823928391 49599176697 54322907811 126753451559 162968723433 380260354677 1140781064031