Search a number
-
+
230961435929088 = 2934124111521133
BaseRepresentation
bin110100100000111011100110…
…010110000110101000000000
31010021202200211120122110102220
4310200323212112012220000
5220233033010044212323
62135114115141211040
766435261455406324
oct6440734626065000
91107680746573386
10230961435929088
1167656216480007
1221aa1a59700a80
139bb4754262797
144106843831984
151ba7c84bd80e3
hexd20ee6586a00

230961435929088 has 160 divisors (see below), whose sum is σ = 630564755147712. Its totient is φ = 75078207897600.

The previous prime is 230961435928963. The next prime is 230961435929149. The reversal of 230961435929088 is 880929534169032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151074570 + ... + 152595702.

Almost surely, 2230961435929088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230961435929088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315282377573856).

230961435929088 is an abundant number, since it is smaller than the sum of its proper divisors (399603319218624).

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

230961435929088 is a wasteful number, since it uses less digits than its factorization.

230961435929088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523606 (or 1523590 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 69.

The spelling of 230961435929088 in words is "two hundred thirty trillion, nine hundred sixty-one billion, four hundred thirty-five million, nine hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 512 656 768 984 1312 1536 1968 2411 2624 3936 4822 5248 7233 7872 9644 10496 14466 15744 19288 20992 28932 31488 38576 57864 62976 77152 98851 115728 154304 197702 231456 296553 308608 395404 462912 593106 617216 790808 925824 1186212 1234432 1521133 1581616 1851648 2372424 3042266 3163232 3703296 4563399 4744848 6084532 6326464 9126798 9489696 12169064 12652928 18253596 18979392 24338128 25305856 36507192 37958784 48676256 50611712 62366453 73014384 75917568 97352512 124732906 146028768 151835136 187099359 194705024 249465812 292057536 374198718 389410048 498931624 584115072 748397436 778820096 997863248 1168230144 1496794872 1995726496 2336460288 2993589744 3667451663 3991452992 5987179488 7334903326 7982905984 11002354989 11974358976 14669806652 15965811968 22004709978 23948717952 29339613304 31931623936 44009419956 47897435904 58679226608 88018839912 95794871808 117358453216 150365518183 176037679824 234716906432 300731036366 352075359648 451096554549 469433812864 601462072732 704150719296 902193109098 938867625728 1202924145464 1408301438592 1804386218196 1877735251456 2405848290928 2816602877184 3608772436392 4811696581856 5633205754368 7217544872784 9623393163712 14435089745568 19246786327424 28870179491136 38493572654848 57740358982272 76987145309696 115480717964544 230961435929088