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1004480470044 = 223337769326881
BaseRepresentation
bin11101001110111111011…
…00111001110000011100
310120000201222012212221000
432213133230321300130
5112424134000020134
62045241342310300
7132366651055632
oct16473754716034
93500658185830
101004480470044
11357aa80473a7
12142812588390
13739505c4b4c
143688d50b352
151b1dec97e99
hexe9dfb39c1c

1004480470044 has 96 divisors (see below), whose sum is σ = 2678078849600. Its totient is φ = 325352816640.

The previous prime is 1004480470043. The next prime is 1004480470087. The reversal of 1004480470044 is 4400740844001.

1004480470044 is a `hidden beast` number, since 100 + 4 + 4 + 80 + 470 + 0 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1004480469990 and 1004480470008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004480470043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2909484 + ... + 3236364.

Almost surely, 21004480470044 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 1004480470044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339039424800).

1004480470044 is an abundant number, since it is smaller than the sum of its proper divisors (1673598379556).

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

1004480470044 is a wasteful number, since it uses less digits than its factorization.

1004480470044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327700 (or 327692 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 1004480470044 in words is "one trillion, four billion, four hundred eighty million, four hundred seventy thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 769 999 1332 1538 1998 2307 3076 3996 4614 6921 9228 13842 20763 27684 28453 41526 56906 83052 85359 113812 170718 256077 326881 341436 512154 653762 768231 980643 1024308 1307524 1536462 1961286 2941929 3072924 3922572 5883858 8825787 11767716 12094597 17651574 24189194 35303148 36283791 48378388 72567582 108851373 145135164 217702746 251371489 326554119 435405492 502742978 653108238 754114467 1005485956 1306216476 1508228934 2262343401 3016457868 4524686802 6787030203 9049373604 9300745093 13574060406 18601490186 27148120812 27902235279 37202980372 55804470558 83706705837 111608941116 167413411674 251120117511 334826823348 502240235022 1004480470044