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1131433940358 = 233179257613743
BaseRepresentation
bin10000011101101110101…
…101111101010110000110
311000011102120120101111000
4100131232231331112012
5122014134042042413
62223435031554130
7144512662545351
oct20355655752606
94004376511430
101131433940358
113a6924a656a7
12163342b2b946
1382903273497
143ca9413b298
151e670426073
hex1076eb7d586

1131433940358 has 128 divisors (see below), whose sum is σ = 2545744204800. Its totient is φ = 372466999296.

The previous prime is 1131433940353. The next prime is 1131433940359. The reversal of 1131433940358 is 8530493341311.

1131433940358 is a `hidden beast` number, since 113 + 143 + 3 + 9 + 40 + 358 = 666.

It is a super-2 number, since 2×11314339403582 (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 (1131433940353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1522790935 + ... + 1522791677.

It is an arithmetic number, because the mean of its divisors is an integer number (19888626600).

Almost surely, 21131433940358 is an apocalyptic number.

1131433940358 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1131433940358 is an abundant number, since it is smaller than the sum of its proper divisors (1414310264442).

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

1131433940358 is a wasteful number, since it uses less digits than its factorization.

1131433940358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1131433940358 in words is "one trillion, one hundred thirty-one billion, four hundred thirty-three million, nine hundred forty thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 179 257 358 514 537 613 743 771 1074 1226 1486 1542 1611 1839 2229 2313 3222 3678 4458 4626 4833 5517 6687 6939 9666 11034 13374 13878 16551 20061 33102 40122 46003 92006 109727 132997 138009 157541 190951 219454 265994 276018 315082 329181 381902 398991 414027 455459 472623 572853 658362 797982 828054 910918 945246 987543 1145706 1196973 1242081 1366377 1417869 1718559 1975086 2393946 2484162 2732754 2835738 2962629 3437118 3590919 4099131 4253607 5155677 5925258 7181838 8198262 8507214 10311354 12297393 24594786 28199839 34180229 56399678 68360458 81527161 84599517 102540687 117052963 163054322 169199034 205081374 234105926 244581483 253798551 307622061 351158889 489162966 507597102 615244122 702317778 733744449 761395653 922866183 1053476667 1467488898 1522791306 1845732366 2106953334 2201233347 3160430001 4402466694 6320860002 20952480377 41904960754 62857441131 125714882262 188572323393 377144646786 565716970179 1131433940358