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4032424123136 = 28177271274509
BaseRepresentation
bin111010101011011111001…
…101010001101100000000
3112021111101120101211002122
4322223133031101230000
51012031401033420021
612324245311303412
7564222141336263
oct72533715215400
915244346354078
104032424123136
111315161324252
1255161681ab68
13233343474506
14dd2556c6cda
156ed5c822bab
hex3aadf351b00

4032424123136 has 72 divisors (see below), whose sum is σ = 8534302489440. Its totient is φ = 1894999670784.

The previous prime is 4032424123111. The next prime is 4032424123163. The reversal of 4032424123136 is 6313214242304.

4032424123136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4032424123096 and 4032424123105.

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, 2526650 + ... + 3801158.

It is an arithmetic number, because the mean of its divisors is an integer number (118531979020).

Almost surely, 24032424123136 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 4032424123136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267151244720).

4032424123136 is an abundant number, since it is smaller than the sum of its proper divisors (4501878366304).

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

4032424123136 is a wasteful number, since it uses less digits than its factorization.

4032424123136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275269 (or 1275255 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The spelling of 4032424123136 in words is "four trillion, thirty-two billion, four hundred twenty-four million, one hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 727 1088 1454 2176 2908 4352 5816 11632 12359 23264 24718 46528 49436 93056 98872 186112 197744 395488 790976 1274509 1581952 2549018 3163904 5098036 10196072 20392144 21666653 40784288 43333306 81568576 86666612 163137152 173333224 326274304 346666448 693332896 926568043 1386665792 1853136086 2773331584 3706272172 5546663168 7412544344 14825088688 15751656731 29650177376 31503313462 59300354752 63006626924 118600709504 126013253848 237201419008 252026507696 504053015392 1008106030784 2016212061568 4032424123136