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413540544002352 = 243131316875032579
BaseRepresentation
bin101111000000111001110100…
…1001110011011100100110000
32000020020002102112200002002120
41132001303221032123210300
5413200422013231033402
64023305523033314240
7153051214122626034
oct13601635116334460
92006202375602076
10413540544002352
1110a848618122948
123a46ab17565980
1314999924026a70
14741967d3cc1c4
1532c2212a3b3bc
hex1781ce939b930

413540544002352 has 80 divisors (see below), whose sum is σ = 1150499965789440. Its totient is φ = 127242252769536.

The previous prime is 413540544002323. The next prime is 413540544002357. The reversal of 413540544002352 is 253200445045314.

It is a super-2 number, since 2×4135405440023522 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413540544002357) 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, 79656399 + ... + 84688977.

It is an arithmetic number, because the mean of its divisors is an integer number (14381249572368).

Almost surely, 2413540544002352 is an apocalyptic number.

It is an amenable number.

413540544002352 is an abundant number, since it is smaller than the sum of its proper divisors (736959421787088).

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

413540544002352 is a wasteful number, since it uses less digits than its factorization.

413540544002352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5164290 (or 5164284 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

Adding to 413540544002352 its reverse (253200445045314), we get a palindrome (666740989047666).

The spelling of 413540544002352 in words is "four hundred thirteen trillion, five hundred forty billion, five hundred forty-four million, two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 131687 263374 395061 526748 790122 1053496 1580244 1711931 2106992 3160488 3423862 5032579 5135793 6320976 6847724 10065158 10271586 13695448 15097737 20130316 20543172 27390896 30195474 40260632 41086344 60390948 65423527 80521264 82172688 120781896 130847054 196270581 241563792 261694108 392541162 523388216 785082324 1046776432 1570164648 3140329296 662725230773 1325450461546 1988175692319 2650900923092 3976351384638 5301801846184 7952702769276 8615428000049 10603603692368 15905405538552 17230856000098 25846284000147 31810811077104 34461712000196 51692568000294 68923424000392 103385136000588 137846848000784 206770272001176 413540544002352