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146044229696406 = 23219647811813829
BaseRepresentation
bin100001001101001110010010…
…011011101011101110010110
3201011002200200110202110200100
4201031032102123223232112
5123120242040300241111
61234335443133554530
742522230105024406
oct4115162233535626
9634080613673610
10146044229696406
11425970123311a8
1214468425045a46
136364bb11c8492
14280c815310806
1511d3e2b454756
hex84d3926ebb96

146044229696406 has 96 divisors (see below), whose sum is σ = 334009894982400. Its totient is φ = 45991113042240.

The previous prime is 146044229696383. The next prime is 146044229696429. The reversal of 146044229696406 is 604696922440641.

It is a happy number.

146044229696406 is a `hidden beast` number, since 1 + 4 + 60 + 4 + 422 + 96 + 9 + 64 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (146044229696383) and next prime (146044229696429).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179046300 + ... + 179860128.

It is an arithmetic number, because the mean of its divisors is an integer number (3479269739400).

Almost surely, 2146044229696406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146044229696406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167004947491200).

146044229696406 is an abundant number, since it is smaller than the sum of its proper divisors (187965665285994).

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

146044229696406 is a wasteful number, since it uses less digits than its factorization.

146044229696406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815314 (or 815311 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 146044229696406 in words is "one hundred forty-six trillion, forty-four billion, two hundred twenty-nine million, six hundred ninety-six thousand, four hundred six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 647 811 1294 1622 1941 2433 3882 4866 5823 7299 11646 12293 14598 15409 24586 30818 36879 46227 73758 92454 110637 138681 221274 277362 524717 813829 1049434 1574151 1627658 2441487 3148302 4722453 4882974 7324461 9444906 9969623 14648922 15462751 19939246 29908869 30925502 46388253 59817738 89726607 92776506 139164759 179453214 278329518 526547363 660015319 1053094726 1320030638 1579642089 1980045957 3159284178 3960091914 4738926267 5940137871 9477852534 10004399897 11880275742 12540291061 20008799794 25080582122 30013199691 37620873183 60026399382 75241746366 90039599073 112862619549 180079198146 225725239098 427029911393 854059822786 1281089734179 2562179468358 3843269202537 7686538405074 8113568316467 16227136632934 24340704949401 48681409898802 73022114848203 146044229696406