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53144441544 = 233311514191129
BaseRepresentation
bin110001011111101001…
…111101001011001000
312002011201122100111210
4301133221331023020
51332314434112134
640225245453120
73560653204545
oct613751751310
9162151570453
1053144441544
11205a1719577
12a371b711a0
13501c35811c
1428021b5bcc
1515b096b2e9
hexc5fa7d2c8

53144441544 has 128 divisors (see below), whose sum is σ = 138507264000. Its totient is φ = 16974144000.

The previous prime is 53144441543. The next prime is 53144441551. The reversal of 53144441544 is 44514444135.

It is not an unprimeable number, because it can be changed into a prime (53144441543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47071572 + ... + 47072700.

It is an arithmetic number, because the mean of its divisors is an integer number (1082088000).

Almost surely, 253144441544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53144441544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69253632000).

53144441544 is an abundant number, since it is smaller than the sum of its proper divisors (85362822456).

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

53144441544 is a wasteful number, since it uses less digits than its factorization.

53144441544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1735 counting only the distinct ones).

The product of its digits is 307200, while the sum is 39.

Adding to 53144441544 its reverse (44514444135), we get a palindrome (97658885679).

The spelling of 53144441544 in words is "fifty-three billion, one hundred forty-four million, four hundred forty-one thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 151 186 248 302 372 419 453 604 744 838 906 1129 1208 1257 1676 1812 2258 2514 3352 3387 3624 4516 4681 5028 6774 9032 9362 10056 12989 13548 14043 18724 25978 27096 28086 34999 37448 38967 51956 56172 63269 69998 77934 103912 104997 112344 126538 139996 155868 170479 189807 209994 253076 279992 311736 340958 379614 419988 473051 506152 511437 681916 759228 839976 946102 1022874 1363832 1419153 1518456 1892204 1961339 2045748 2838306 3784408 3922678 4091496 5284849 5676612 5884017 7845356 10569698 11353224 11768034 14664581 15690712 15854547 21139396 23536068 29329162 31709094 42278792 43993743 47072136 58658324 63418188 71430701 87987486 117316648 126836376 142861402 175974972 214292103 285722804 351949944 428584206 571445608 857168412 1714336824 2214351731 4428703462 6643055193 8857406924 13286110386 17714813848 26572220772 53144441544