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34233110223232 = 2719114431230107
BaseRepresentation
bin1111100100010100001000…
…10111111101100110000000
311111012122122022101202110211
413302022010113331212000
513441333402204120412
6200450250154203504
710132155245532364
oct762120427754600
9144178568352424
1034233110223232
11a9a91a92a1678
123a0a733423594
1316142260b62cb
14864c69d112a4
153e5735de9ca7
hex1f22845fd980

34233110223232 has 64 divisors (see below), whose sum is σ = 71794515355200. Its totient is φ = 16214253525504.

The previous prime is 34233110223133. The next prime is 34233110223287. The reversal of 34233110223232 is 23232201133243.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 34233110223194 and 34233110223203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27214323 + ... + 28444429.

It is an arithmetic number, because the mean of its divisors is an integer number (1121789302425).

Almost surely, 234233110223232 is an apocalyptic number.

34233110223232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34233110223232 is an abundant number, since it is smaller than the sum of its proper divisors (37561405131968).

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

34233110223232 is a wasteful number, since it uses less digits than its factorization.

34233110223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241583 (or 1241571 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 34233110223232 its reverse (23232201133243), we get a palindrome (57465311356475).

The spelling of 34233110223232 in words is "thirty-four trillion, two hundred thirty-three billion, one hundred ten million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 2432 11443 22886 45772 91544 183088 217417 366176 434834 732352 869668 1230107 1464704 1739336 2460214 3478672 4920428 6957344 9840856 13914688 19681712 23372033 27829376 39363424 46744066 78726848 93488132 157453696 186976264 373952528 747905056 1495810112 2991620224 14076114401 28152228802 56304457604 112608915208 225217830416 267446173619 450435660832 534892347238 900871321664 1069784694476 1801742643328 2139569388952 4279138777904 8558277555808 17116555111616 34233110223232