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23301120014144 = 267232261366461
BaseRepresentation
bin1010100110001001101101…
…11110110011011101000000
310001111120021010011102102022
411103010312332303131000
511023231143210423034
6121320215312341012
74623310322122610
oct523046676633500
9101446233142368
1023301120014144
117473a49875235
122743ab5b44768
1310003949acbab
145a7accd24a40
152a61b0274b2e
hex153136fb3740

23301120014144 has 56 divisors (see below), whose sum is σ = 55141159809408. Its totient is φ = 9552011927040.

The previous prime is 23301120014113. The next prime is 23301120014147. The reversal of 23301120014144 is 44141002110332.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23301120014147) 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 7 ways as a sum of consecutive naturals, for example, 1130672927 + ... + 1130693534.

Almost surely, 223301120014144 is an apocalyptic number.

It is an amenable number.

23301120014144 is an abundant number, since it is smaller than the sum of its proper divisors (31840039795264).

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

23301120014144 is a wasteful number, since it uses less digits than its factorization.

23301120014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261366503 (or 2261366493 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 23301120014144 its reverse (44141002110332), we get a palindrome (67442122124476).

The spelling of 23301120014144 in words is "twenty-three trillion, three hundred one billion, one hundred twenty million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1288 1472 2576 5152 10304 2261366461 4522732922 9045465844 15829565227 18090931688 31659130454 36181863376 52011428603 63318260908 72363726752 104022857206 126636521816 144727453504 208045714412 253273043632 364080000221 416091428824 506546087264 728160000442 832182857648 1013092174528 1456320000884 1664365715296 2912640001768 3328731430592 5825280003536 11650560007072 23301120014144