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413000401302 = 232611035776329
BaseRepresentation
bin1100000001010001011…
…11100000000110010110
31110111000201010011221100
412000220233200012112
523231311100320202
6513421343530530
741560351326426
oct6005057400626
91414021104840
10413000401302
1114a174a61305
1268060bb9a46
132cc3ab208a8
1415dbc9d4486
15ab22dc941c
hex6028be0196

413000401302 has 96 divisors (see below), whose sum is σ = 920070665280. Its totient is φ = 133841756160.

The previous prime is 413000401277. The next prime is 413000401309. The reversal of 413000401302 is 203104000314.

It is a super-2 number, since 2×4130004013022 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413000401309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65252074 + ... + 65258402.

It is an arithmetic number, because the mean of its divisors is an integer number (9584069430).

Almost surely, 2413000401302 is an apocalyptic number.

413000401302 is an abundant number, since it is smaller than the sum of its proper divisors (507070263978).

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

413000401302 is a wasteful number, since it uses less digits than its factorization.

413000401302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7078 (or 7075 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 413000401302 its reverse (203104000314), we get a palindrome (616104401616).

The spelling of 413000401302 in words is "four hundred thirteen billion, four hundred one thousand, three hundred two".

Divisors: 1 2 3 6 9 18 61 103 122 183 206 309 366 549 577 618 927 1098 1154 1731 1854 3462 5193 6283 6329 10386 12566 12658 18849 18987 35197 37698 37974 56547 56961 59431 70394 105591 113094 113922 118862 178293 211182 316773 356586 386069 534879 633546 651887 772138 1069758 1158207 1303774 1955661 2316414 3474621 3625291 3651833 3911322 5866983 6949242 7250582 7303666 10875873 10955499 11733966 21751746 21910998 32627619 32866497 39765107 65255238 65732994 79530214 119295321 222761813 238590642 357885963 376138799 445523626 668285439 715771926 752277598 1128416397 1336570878 2004856317 2256832794 3385249191 4009712634 6770498382 22944466739 45888933478 68833400217 137666800434 206500200651 413000401302