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110434034032 = 24710723938557
BaseRepresentation
bin110011011011001100…
…0011010000101110000
3101120001100010012010121
41212312120122011300
53302132103042112
6122422132340024
710656441541540
oct1466630320560
9346040105117
10110434034032
1142920151323
12194a0174614
13a54c3c668a
1454b8ac7320
152d15280407
hex19b661a170

110434034032 has 80 divisors (see below), whose sum is σ = 247856993280. Its totient is φ = 46689156864.

The previous prime is 110434033979. The next prime is 110434034059. The reversal of 110434034032 is 230430434011.

It is a junction number, because it is equal to n+sod(n) for n = 110434033988 and 110434034006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2844898 + ... + 2883454.

It is an arithmetic number, because the mean of its divisors is an integer number (3098212416).

Almost surely, 2110434034032 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 110434034032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123928496640).

110434034032 is an abundant number, since it is smaller than the sum of its proper divisors (137422959248).

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

110434034032 is a wasteful number, since it uses less digits than its factorization.

110434034032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38918 (or 38912 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 110434034032 its reverse (230430434011), we get a palindrome (340864468043).

The spelling of 110434034032 in words is "one hundred ten billion, four hundred thirty-four million, thirty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 107 112 214 239 428 478 749 856 956 1498 1673 1712 1912 2996 3346 3824 5992 6692 11984 13384 25573 26768 38557 51146 77114 102292 154228 179011 204584 269899 308456 358022 409168 539798 616912 716044 1079596 1432088 2159192 2864176 4125599 4318384 8251198 9215123 16502396 18430246 28879193 33004792 36860492 57758386 64505861 66009584 73720984 115516772 129011722 147441968 231033544 258023444 462067088 516046888 986018161 1032093776 1972036322 3944072644 6902127127 7888145288 13804254254 15776290576 27608508508 55217017016 110434034032