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401321313342 = 233231513735737
BaseRepresentation
bin1011101011100001001…
…11010100010000111110
31102100212202212001011000
411311300213110100332
523033401224011332
6504210420311130
740665054610335
oct5656047242076
91370782761130
10401321313342
111452214676a4
12659418424a6
132bac92c9461
14155d1870d1c
15a68c8e8b7c
hex5d709d443e

401321313342 has 128 divisors (see below), whose sum is σ = 939438213120. Its totient is φ = 126747244800.

The previous prime is 401321313331. The next prime is 401321313373. The reversal of 401321313342 is 243313123104.

It is a happy number.

401321313342 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 2 + 1 + 313 + 342 = 666.

It is a super-2 number, since 2×4013213133422 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69950298 + ... + 69956034.

It is an arithmetic number, because the mean of its divisors is an integer number (7339361040).

Almost surely, 2401321313342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401321313342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469719106560).

401321313342 is an abundant number, since it is smaller than the sum of its proper divisors (538116899778).

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

401321313342 is a wasteful number, since it uses less digits than its factorization.

401321313342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6295 (or 6289 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 401321313342 its reverse (243313123104), we get a palindrome (644634436446).

The spelling of 401321313342 in words is "four hundred one billion, three hundred twenty-one million, three hundred thirteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 151 207 302 373 414 453 621 746 906 1119 1242 1359 2238 2718 3357 3473 4077 5737 6714 6946 8154 8579 10071 10419 11474 17158 17211 20142 20838 25737 31257 34422 51474 51633 56323 62514 77211 93771 103266 112646 131951 154422 154899 168969 187542 231633 263902 309798 337938 395853 463266 506907 791706 866287 1013814 1187559 1295429 1520721 1732574 2139901 2375118 2590858 2598861 3041442 3562677 3886287 4279802 5197722 6419703 7125354 7772574 7796583 11658861 12839406 15593166 19259109 19924601 23317722 23389749 34976583 38518218 39849202 46779498 49217723 57777327 59773803 69953166 98435446 115554654 119547606 147653169 179321409 295306338 323125051 358642818 442959507 537964227 646250102 885919014 969375153 1075928454 1328878521 1938750306 2657757042 2908125459 5816250918 7431876173 8724376377 14863752346 17448752754 22295628519 44591257038 66886885557 133773771114 200660656671 401321313342