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402304113414104 = 23117310126139121
BaseRepresentation
bin101101101111001001011100…
…1110001011000111111011000
31221202102220020101011002012112
41123132102321301120333120
5410212322311013222404
63543343542553531452
7150511340652541016
oct13336227161307730
91852386211132175
10402304113414104
11107206241a80670
1239155295713b88
1314363165b91765
14714b8a16738b6
153179cbe99456e
hex16de4b9c58fd8

402304113414104 has 96 divisors (see below), whose sum is σ = 842508301227120. Its totient is φ = 178574722560000.

The previous prime is 402304113414059. The next prime is 402304113414109. The reversal of 402304113414104 is 401414311403204.

It is a super-2 number, since 2×4023041134141042 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402304113414109) 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, 62461664 + ... + 68600784.

Almost surely, 2402304113414104 is an apocalyptic number.

402304113414104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402304113414104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421254150613560).

402304113414104 is an abundant number, since it is smaller than the sum of its proper divisors (440204187813016).

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

402304113414104 is a wasteful number, since it uses less digits than its factorization.

402304113414104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6139413 (or 6139308 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 402304113414104 its reverse (401414311403204), we get a palindrome (803718424817308).

The spelling of 402304113414104 in words is "four hundred two trillion, three hundred four billion, one hundred thirteen million, four hundred fourteen thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 73 88 101 146 202 292 404 584 803 808 1111 1606 2222 3212 4444 6424 7373 8888 10201 14746 20402 29492 40804 58984 81103 81608 112211 162206 224422 324412 448844 648824 744673 897688 1489346 2978692 5957384 6139121 8191403 12278242 16382806 24556484 32765612 49112968 65531224 67530331 135060662 270121324 448155833 540242648 620051221 896311666 1240102442 1792623332 2480204884 3585246664 4929714163 4960409768 6820563431 9859428326 13641126862 19718856652 27282253724 39437713304 45263739133 54564507448 62625173321 90527478266 125250346642 181054956532 250500693284 362109913064 497901130463 501001386568 688876906531 995802260926 1377753813062 1991604521852 2755507626124 3983209043704 4571637652433 5511015252248 9143275304866 18286550609732 36573101219464 50288014176763 100576028353526 201152056707052 402304113414104