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402214104306 = 23473114397951
BaseRepresentation
bin1011101101001011101…
…01000010110011110010
31102110011222210112010000
411312211311002303302
523042213302314211
6504435152050430
741026145322420
oct5664565026362
91373158715100
10402214104306
1114563a415773
1265b50833a16
132bc0c26a731
1415678272110
15a6e0e9e656
hex5da5d42cf2

402214104306 has 160 divisors (see below), whose sum is σ = 1064107376640. Its totient is φ = 111120012000.

The previous prime is 402214104221. The next prime is 402214104307. The reversal of 402214104306 is 603401412204.

It is a happy number.

402214104306 is a `hidden beast` number, since 4 + 0 + 2 + 214 + 10 + 430 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 402214104306.

It is not an unprimeable number, because it can be changed into a prime (402214104307) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50582631 + ... + 50590581.

It is an arithmetic number, because the mean of its divisors is an integer number (6650671104).

Almost surely, 2402214104306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402214104306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532053688320).

402214104306 is an abundant number, since it is smaller than the sum of its proper divisors (661893272334).

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

402214104306 is a wasteful number, since it uses less digits than its factorization.

402214104306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9442 (or 9433 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 402214104306 in words is "four hundred two billion, two hundred fourteen million, one hundred four thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 81 93 126 162 186 189 217 279 378 434 558 567 651 837 1134 1302 1439 1674 1953 2511 2878 3906 4317 5022 5859 7951 8634 10073 11718 12951 15902 17577 20146 23853 25902 30219 35154 38853 44609 47706 55657 60438 71559 77706 89218 90657 111314 116559 133827 143118 166971 181314 214677 233118 246481 267654 271971 312263 333942 401481 429354 492962 500913 543942 624526 644031 739443 802962 815913 936789 1001826 1204443 1288062 1478886 1502739 1631826 1725367 1873578 2218329 2408886 2810367 3005478 3450734 3613329 4436658 4508217 5176101 5620734 6654987 7226658 8431101 9016434 10352202 11441489 13309974 15528303 16862202 19964961 22882978 25293303 31056606 34324467 39929922 46584909 50586606 68648934 80090423 93169818 102973401 139754727 160180846 205946802 240271269 279509454 308920203 354686159 480542538 617840406 709372318 720813807 926760609 1064058477 1441627614 1853521218 2128116954 2162441421 2482803113 3192175431 4324882842 4965606226 6384350862 6487324263 7448409339 9576526293 12974648526 14896818678 19153052586 22345228017 28729578879 44690456034 57459157758 67035684051 134071368102 201107052153 402214104306