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23343430133140 = 22513293095945641
BaseRepresentation
bin1010100111011000100001…
…10111000110010110010100
310001122121110210010011102121
411103230100313012112110
511024424321103230030
6121351453533145324
74626335650161325
oct523542067062624
9101577423104377
1023343430133140
11748a990825927
12275014362b244
13100437853b370
145a9b8423644c
152a733997b47a
hex153b10dc6594

23343430133140 has 48 divisors (see below), whose sum is σ = 54612481124880. Its totient is φ = 8321901880320.

The previous prime is 23343430133131. The next prime is 23343430133143. The reversal of 23343430133140 is 4133103434332.

It can be written as a sum of positive squares in 8 ways, for example, as 289930556304 + 23053499576836 = 538452^2 + 4801406^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23343430133096 and 23343430133105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23343430133143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1547965281 + ... + 1547980360.

It is an arithmetic number, because the mean of its divisors is an integer number (1137760023435).

Almost surely, 223343430133140 is an apocalyptic number.

23343430133140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23343430133140 is an abundant number, since it is smaller than the sum of its proper divisors (31269050991740).

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

23343430133140 is a wasteful number, since it uses less digits than its factorization.

23343430133140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095945692 (or 3095945690 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 34.

Adding to 23343430133140 its reverse (4133103434332), we get a palindrome (27476533567472).

The spelling of 23343430133140 in words is "twenty-three trillion, three hundred forty-three billion, four hundred thirty million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 7540 3095945641 6191891282 12383782564 15479728205 30959456410 40247293333 61918912820 80494586666 89782423589 160989173332 179564847178 201236466665 359129694356 402472933330 448912117945 804945866660 897824235890 1167171506657 1795648471780 2334343013314 4668686026628 5835857533285 11671715066570 23343430133140