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41313152144540 = 22519299203407359
BaseRepresentation
bin10010110010010111101111…
…10000100001010010011100
312102021111110121100122002002
421121023313300201102130
520403333313422111130
6223511000004021432
711462530265104013
oct1131136760412234
9172244417318062
1041313152144540
111218889a399101
124772923091878
131a08a76433943
14a2b7d26b5a7a
154b99b35e8b45
hex2592f7c2149c

41313152144540 has 96 divisors (see below), whose sum is σ = 94483404288000. Its totient is φ = 15113985530112.

The previous prime is 41313152144531. The next prime is 41313152144543. The reversal of 41313152144540 is 4544125131314.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 41313152144494 and 41313152144503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41313152144543) 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, 101213381 + ... + 101620739.

It is an arithmetic number, because the mean of its divisors is an integer number (984202128000).

Almost surely, 241313152144540 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 41313152144540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47241702144000).

41313152144540 is an abundant number, since it is smaller than the sum of its proper divisors (53170252143460).

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

41313152144540 is a wasteful number, since it uses less digits than its factorization.

41313152144540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416619 (or 416617 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

Adding to 41313152144540 its reverse (4544125131314), we get a palindrome (45857277275854).

The spelling of 41313152144540 in words is "forty-one trillion, three hundred thirteen billion, one hundred fifty-two million, one hundred forty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 380 551 580 1102 2204 2755 5510 9203 11020 18406 36812 46015 92030 174857 184060 266887 349714 407359 533774 699428 814718 874285 1067548 1334435 1629436 1748570 2036795 2668870 3497140 4073590 5070853 5337740 7739821 8147180 10141706 11813411 15479642 20283412 23626822 25354265 30959284 38699105 47253644 50708530 59067055 77398210 101417060 118134110 154796420 224454809 236268220 448909618 897819236 1122274045 2244548090 3748924877 4489096180 7497849754 14995699508 18744624385 37489248770 71229572663 74978497540 108718821433 142459145326 217437642866 284918290652 356147863315 434875285732 543594107165 712295726630 1087188214330 1424591453260 2065657607227 2174376428660 4131315214454 8262630428908 10328288036135 20656576072270 41313152144540