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41421002100520 = 2357261346445317
BaseRepresentation
bin10010110101100000101000…
…00111011100111100101000
312102122210211212002001112011
421122300110013130330220
520412120203014204040
6224032313510525304
711503366021440400
oct1132602407347450
9172583755061464
1041421002100520
111221a60392a329
12478b801966834
131a15ca3370543
14a32b04103800
154bc6c6a913ea
hex25ac141dcf28

41421002100520 has 96 divisors (see below), whose sum is σ = 110190397843080. Its totient is φ = 13968675141120.

The previous prime is 41421002100479. The next prime is 41421002100521. The reversal of 41421002100520 is 2500120012414.

It can be written as a sum of positive squares in 4 ways, for example, as 24260215317156 + 17160786783364 = 4925466^2 + 4142558^2 .

It is a super-2 number, since 2×414210021005202 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41421002100491 and 41421002100500.

It is not an unprimeable number, because it can be changed into a prime (41421002100521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173103099 + ... + 173342218.

Almost surely, 241421002100520 is an apocalyptic number.

41421002100520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41421002100520 is an abundant number, since it is smaller than the sum of its proper divisors (68769395742560).

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

41421002100520 is a wasteful number, since it uses less digits than its factorization.

41421002100520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346445403 (or 346445392 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 41421002100520 its reverse (2500120012414), we get a palindrome (43921122112934).

The spelling of 41421002100520 in words is "forty-one trillion, four hundred twenty-one billion, two million, one hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 61 70 98 122 140 196 244 245 280 305 392 427 488 490 610 854 980 1220 1708 1960 2135 2440 2989 3416 4270 5978 8540 11956 14945 17080 23912 29890 59780 119560 346445317 692890634 1385781268 1732226585 2425117219 2771562536 3464453170 4850234438 6928906340 9700468876 12125586095 13857812680 16975820533 19400937752 21133164337 24251172190 33951641066 42266328674 48502344380 67903282132 84532657348 84879102665 97004688760 105665821685 135806564264 147932150359 169065314696 169758205330 211331643370 295864300718 339516410660 422663286740 591728601436 679032821320 739660751795 845326573480 1035525052513 1183457202872 1479321503590 2071050105026 2958643007180 4142100210052 5177625262565 5917286014360 8284200420104 10355250525130 20710501050260 41421002100520