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200332162321434 = 232111329416362227
BaseRepresentation
bin101101100011001101110111…
…010111110100110000011010
3222021022120022211122022001200
4231203031313113310300122
5202224220232023241214
61550023154100455030
760124343510416143
oct5543156727646032
9867276284568050
10200332162321434
1158917435a88790
121a57586b9aa476
1387a231b451200
1437681b2440aca
1518261750eed09
hexb633775f4c1a

200332162321434 has 144 divisors (see below), whose sum is σ = 513283228851744. Its totient is φ = 55977409238400.

The previous prime is 200332162321433. The next prime is 200332162321481. The reversal of 200332162321434 is 434123261233002.

200332162321434 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 3 + 2 + 1 + 623 + 21 + 4 + 3 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (200332162321433) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28306629 + ... + 34668855.

It is an arithmetic number, because the mean of its divisors is an integer number (3564466867026).

Almost surely, 2200332162321434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200332162321434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256641614425872).

200332162321434 is an abundant number, since it is smaller than the sum of its proper divisors (312951066530310).

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

200332162321434 is a wasteful number, since it uses less digits than its factorization.

200332162321434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6363213 (or 6363197 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 200332162321434 in words is "two hundred trillion, three hundred thirty-two billion, one hundred sixty-two million, three hundred twenty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 169 198 234 286 338 429 507 858 941 1014 1287 1521 1859 1882 2574 2823 3042 3718 5577 5646 8469 10351 11154 12233 16731 16938 20702 24466 31053 33462 36699 62106 73398 93159 110097 134563 159029 186318 220194 269126 318058 403689 477087 807378 954174 1211067 1431261 1749319 2422134 2862522 3498638 5247957 6362227 10495914 12724454 15743871 19086681 31487742 38173362 57260043 69984497 82708951 114520086 139968994 165417902 209953491 248126853 419906982 496253706 629860473 744380559 909798461 1075216363 1259720946 1488761118 1819596922 2150432726 2729395383 3225649089 5458790766 5986855607 6451298178 8188186149 9676947267 11827379993 11973711214 16376372298 17960566821 19353894534 23654759986 35482139979 35921133642 53881700463 65855411677 70964279958 77829122891 106446419937 107763400926 131710823354 155658245782 197566235031 212892839874 233487368673 395132470062 466974737346 592698705093 700462106019 856120351801 1011778597583 1185397410186 1400924212038 1712240703602 2023557195166 2568361055403 3035335792749 5136722110806 6070671585498 7705083166209 9106007378247 11129564573413 15410166332418 18212014756494 22259129146826 33388693720239 66777387440478 100166081160717 200332162321434