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1031092349742 = 2377132590463
BaseRepresentation
bin11110000000100011110…
…01001010101100101110
310122120102121011110000000
433000101321022230232
5113343134120142432
62105402143245130
7134331300236010
oct17002171125456
93576377143000
101031092349742
11368313829504
121479ba8a97a6
1376301a63420
1437c9599c1b0
151bc4b21457c
hexf011e4ab2e

1031092349742 has 128 divisors (see below), whose sum is σ = 2854898565120. Its totient is φ = 271936338912.

The previous prime is 1031092349741. The next prime is 1031092349743. The reversal of 1031092349742 is 2479432901301.

1031092349742 is a `hidden beast` number, since 1 + 0 + 31 + 0 + 92 + 3 + 497 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (1031092349741) and next prime (1031092349743).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031092349741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 897198 + ... + 1693265.

It is an arithmetic number, because the mean of its divisors is an integer number (22303895040).

Almost surely, 21031092349742 is an apocalyptic number.

1031092349742 is an abundant number, since it is smaller than the sum of its proper divisors (1823806215378).

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

1031092349742 is an equidigital number, since it uses as much as digits as its factorization.

1031092349742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590506 (or 2590488 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 1031092349742 in words is "one trillion, thirty-one billion, ninety-two million, three hundred forty-nine thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 243 273 351 378 486 546 567 702 729 819 1053 1134 1458 1638 1701 2106 2187 2457 3159 3402 4374 4914 5103 6318 7371 9477 10206 14742 15309 18954 22113 28431 30618 44226 56862 66339 132678 199017 398034 2590463 5180926 7771389 15542778 18133241 23314167 33676019 36266482 46628334 54399723 67352038 69942501 101028057 108799446 139885002 163199169 202056114 209827503 235732133 303084171 326398338 419655006 471464266 489597507 606168342 629482509 707196399 909252513 979195014 1258965018 1414392798 1468792521 1818505026 1888447527 2121589197 2727757539 2937585042 3776895054 4243178394 4406377563 5455515078 5665342581 6364767591 8183272617 8812755126 11330685162 12729535182 13219132689 16366545234 19094302773 24549817851 26438265378 38188605546 39657398067 49099635702 57282908319 73649453553 79314796134 114565816638 147298907106 171848724957 343697449914 515546174871 1031092349742