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140053346433 = 33711213471089
BaseRepresentation
bin1000001001101111010…
…1000111100010000001
3111101111120002011022000
42002123311013202001
54243312124041213
6144201205134213
713055436542160
oct2023365074201
9441446064260
10140053346433
115443a510100
12231876ba369
131028c94c630
146ac87573d7
15399a75cc73
hex209bd47881

140053346433 has 96 divisors (see below), whose sum is σ = 280694265600. Its totient is φ = 67158305280.

The previous prime is 140053346371. The next prime is 140053346437. The reversal of 140053346433 is 334643350041.

140053346433 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 5 + 3 + 3 + 4 + 643 + 3 = 666.

It is not a de Polignac number, because 140053346433 - 26 = 140053346369 is a prime.

It is a super-2 number, since 2×1400533464332 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (140053346437) 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, 61753 + ... + 532841.

It is an arithmetic number, because the mean of its divisors is an integer number (2923898600).

Almost surely, 2140053346433 is an apocalyptic number.

140053346433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

140053346433 is an abundant number, since it is smaller than the sum of its proper divisors (140640919167).

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

140053346433 is a wasteful number, since it uses less digits than its factorization.

140053346433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471140 (or 471123 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 140053346433 its reverse (334643350041), we get a palindrome (474696696474).

The spelling of 140053346433 in words is "one hundred forty billion, fifty-three million, three hundred forty-six thousand, four hundred thirty-three".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 91 99 117 121 143 189 231 273 297 351 363 429 693 819 847 1001 1089 1287 1573 2079 2457 2541 3003 3267 3861 4719 7623 9009 11011 14157 22869 27027 33033 42471 99099 297297 471089 1413267 3297623 4239801 5181979 6124157 9892869 12719403 15545937 18372471 29678607 36273853 42869099 46637811 55117413 57001769 67365727 89035821 108821559 128607297 139913433 165352239 171005307 202097181 326464677 385821891 399012383 471560089 513015921 606291543 741022997 979394031 1157465673 1197037149 1414680267 1539047763 1818874629 2223068991 3591111447 4244040801 5187160979 6669206973 10773334341 12732122403 15561482937 20007620919 46684448811 140053346433