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34232044333432 = 231110722737342937
BaseRepresentation
bin1111100100010010001001…
…10101111010100101111000
311111012112220000201221112211
413302021010311322211320
513441324211322132212
6200445552320344504
710132116653604061
oct762110465724570
9144175800657484
1034232044333432
11a9a8801664910
123a0a496475134
1316140b631939a
14864ba8531568
153e56c25509a7
hex1f2244d7a978

34232044333432 has 128 divisors (see below), whose sum is σ = 71177793603840. Its totient is φ = 15305193262080.

The previous prime is 34232044333367. The next prime is 34232044333457. The reversal of 34232044333432 is 23433344023243.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 797240668 + ... + 797283604.

It is an arithmetic number, because the mean of its divisors is an integer number (556076512530).

Almost surely, 234232044333432 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 34232044333432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35588896801920).

34232044333432 is an abundant number, since it is smaller than the sum of its proper divisors (36945749270408).

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

34232044333432 is a wasteful number, since it uses less digits than its factorization.

34232044333432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43661 (or 43657 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 40.

Adding to 34232044333432 its reverse (23433344023243), we get a palindrome (57665388356675).

The spelling of 34232044333432 in words is "thirty-four trillion, two hundred thirty-two billion, forty-four million, three hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 107 214 227 373 428 454 746 856 908 1177 1492 1816 2354 2497 2984 4103 4708 4994 8206 9416 9988 16412 19976 24289 32824 39911 42937 48578 79822 84671 85874 97156 159644 169342 171748 194312 267179 319288 338684 343496 439021 472307 534358 677368 878042 931381 944614 1068716 1756084 1862762 1889228 2137432 3512168 3725524 3778456 4594259 7451048 9059797 9188518 9746699 16015501 18119594 18377036 19493398 32031002 36239188 36754072 38986796 50536849 64062004 72478376 77973592 99657767 101073698 107213689 128124008 176170511 199315534 202147396 214427378 352341022 398631068 404294792 428854756 704682044 797262136 857709512 1042896793 1409364088 1713658607 2085793586 3427317214 3635518727 4171587172 6854634428 7271037454 8343174344 11471864723 13709268856 14542074908 18850244677 22943729446 29084149816 37700489354 39990705997 45887458892 75400978708 79981411994 91774917784 150801957416 159962823988 319925647976 389000503789 778001007578 1556002015156 3112004030312 4279005541679 8558011083358 17116022166716 34232044333432