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413325402240252 = 2231311912777495713
BaseRepresentation
bin101110111111010101101000…
…1110001101111010011111100
32000012110112002221111011212110
41131332223101301233103330
5413133410410433142002
64023023022442534020
7153026526531053025
oct13576532161572374
92005415087434773
10413325402240252
1110a775356214777
123a435294b07310
13149825589b5458
14740d0b0343c4c
1532bb8200ede6c
hex177ead1c6f4fc

413325402240252 has 96 divisors (see below), whose sum is σ = 977229608914944. Its totient is φ = 135958335385600.

The previous prime is 413325402240209. The next prime is 413325402240263. The reversal of 413325402240252 is 252042204523314.

It is a super-2 number, since 2×4133254022402522 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413325402240252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 833551948 + ... + 834047660.

It is an arithmetic number, because the mean of its divisors is an integer number (10179475092864).

Almost surely, 2413325402240252 is an apocalyptic number.

It is an amenable number.

413325402240252 is an abundant number, since it is smaller than the sum of its proper divisors (563904206674692).

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

413325402240252 is a wasteful number, since it uses less digits than its factorization.

413325402240252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498819 (or 498817 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

Adding to 413325402240252 its reverse (252042204523314), we get a palindrome (665367606763566).

The spelling of 413325402240252 in words is "four hundred thirteen trillion, three hundred twenty-five billion, four hundred two million, two hundred forty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 131 191 262 382 393 524 573 764 786 1146 1572 2292 2777 5554 8331 11108 16662 25021 33324 50042 75063 100084 150126 300252 363787 495713 530407 727574 991426 1060814 1091361 1455148 1487139 1591221 1982852 2121628 2182722 2974278 3182442 4365444 5948556 6364884 64938403 69483317 94681183 129876806 138966634 189362366 194815209 208449951 259753612 277933268 284043549 378724732 389630418 416899902 568087098 779260836 833799804 1136174196 1376595001 2753190002 4129785003 5506380004 8259570006 12403234973 16519140012 24806469946 37209704919 49612939892 74419409838 148838819676 180333945131 262929645191 360667890262 525859290382 541001835393 721335780524 788788935573 1051718580764 1082003670786 1577577871146 2164007341572 3155155742292 34443783520021 68887567040042 103331350560063 137775134080084 206662701120126 413325402240252