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4044001122432 = 27323510417641
BaseRepresentation
bin111010110110010001010…
…000000001100010000000
3112022121021101120022120100
4322312101100001202000
51012224103241404212
612333442150442400
7565112055243645
oct72662120014200
915277241508510
104044001122432
11131a062230167
12553907963400
13234469aa355b
14dda33073dcc
15702d8d89bdc
hex3ad91401880

4044001122432 has 48 divisors (see below), whose sum is σ = 11637034483230. Its totient is φ = 1348000373760.

The previous prime is 4044001122407. The next prime is 4044001122493. The reversal of 4044001122432 is 2342211004404.

4044001122432 is a `hidden beast` number, since 4 + 0 + 4 + 400 + 1 + 1 + 224 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3882570739776 + 161430382656 = 1970424^2 + 401784^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 4044001122396 and 4044001122405.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1755207669 + ... + 1755209972.

Almost surely, 24044001122432 is an apocalyptic number.

It is an amenable number.

4044001122432 is an abundant number, since it is smaller than the sum of its proper divisors (7593033360798).

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

4044001122432 is a wasteful number, since it uses less digits than its factorization.

4044001122432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510417661 (or 3510417646 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4044001122432 its reverse (2342211004404), we get a palindrome (6386212126836).

The spelling of 4044001122432 in words is "four trillion, forty-four billion, one million, one hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3510417641 7020835282 10531252923 14041670564 21062505846 28083341128 31593758769 42125011692 56166682256 63187517538 84250023384 112333364512 126375035076 168500046768 224666729024 252750070152 337000093536 449333458048 505500140304 674000187072 1011000280608 1348000374144 2022000561216 4044001122432