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2534244134120 = 2351747113701719
BaseRepresentation
bin100100111000001100101…
…110001010110011101000
322222021022211102211002022
4210320030232022303220
5313010112444242440
65220114330524012
7351043634501216
oct44701456126350
98867284384068
102534244134120
11897848823076
1234b1a1296608
13154c941363aa
148a92da61cb6
1545dc5135cb5
hex24e0cb8ace8

2534244134120 has 128 divisors (see below), whose sum is σ = 6220495180800. Its totient is φ = 925504290816.

The previous prime is 2534244134113. The next prime is 2534244134129. The reversal of 2534244134120 is 214314424352.

It is not an unprimeable number, because it can be changed into a prime (2534244134129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3260621 + ... + 3962339.

It is an arithmetic number, because the mean of its divisors is an integer number (48597618600).

Almost surely, 22534244134120 is an apocalyptic number.

2534244134120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2534244134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110247590400).

2534244134120 is an abundant number, since it is smaller than the sum of its proper divisors (3686251046680).

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

2534244134120 is a wasteful number, since it uses less digits than its factorization.

2534244134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701907 (or 701903 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 2534244134120 its reverse (214314424352), we get a palindrome (2748558558472).

The spelling of 2534244134120 in words is "two trillion, five hundred thirty-four billion, two hundred forty-four million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 47 68 85 94 113 136 170 188 226 235 340 376 452 470 565 680 799 904 940 1130 1598 1880 1921 2260 3196 3842 3995 4520 5311 6392 7684 7990 9605 10622 15368 15980 19210 21244 26555 31960 38420 42488 53110 76840 90287 106220 180574 212440 361148 451435 701719 722296 902870 1403438 1805740 2806876 3508595 3611480 5613752 7017190 11929223 14034380 23858446 28068760 32980793 47716892 59646115 65961586 79294247 95433784 119292230 131923172 158588494 164903965 238584460 263846344 317176988 329807930 396471235 477168920 560673481 634353976 659615860 792942470 1121346962 1319231720 1348002199 1585884940 2242693924 2696004398 2803367405 3171769880 3726829609 4485387848 5392008796 5606734810 6740010995 7453659218 10784017592 11213469620 13480021990 14907318436 18634148045 22426939240 26960043980 29814636872 37268296090 53920087960 63356103353 74536592180 126712206706 149073184360 253424413412 316780516765 506848826824 633561033530 1267122067060 2534244134120