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4445660413044 = 2233891181391627
BaseRepresentation
bin100000010110001011000…
…0000100111110001110100
3120202000000201101101101000
41000230112000213301310
51040314203031204134
613242150323203300
7636121416005634
oct100542600476164
916660021341330
104445660413044
111464437450114
125b9722816530
132632bb106756
141152577626c4
157a996294e99
hex40b16027c74

4445660413044 has 96 divisors (see below), whose sum is σ = 11665188259200. Its totient is φ = 1463991978240.

The previous prime is 4445660413001. The next prime is 4445660413063. The reversal of 4445660413044 is 4403140665444.

It is a happy number.

4445660413044 is a `hidden beast` number, since 4 + 4 + 4 + 5 + 6 + 604 + 1 + 30 + 4 + 4 = 666.

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 31 ways as a sum of consecutive naturals, for example, 11155959 + ... + 11547585.

It is an arithmetic number, because the mean of its divisors is an integer number (121512377700).

Almost surely, 24445660413044 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 4445660413044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832594129600).

4445660413044 is an abundant number, since it is smaller than the sum of its proper divisors (7219527846156).

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

4445660413044 is a wasteful number, since it uses less digits than its factorization.

4445660413044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392910 (or 392902 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 4445660413044 in words is "four trillion, four hundred forty-five billion, six hundred sixty million, four hundred thirteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 89 108 178 267 356 534 801 1068 1181 1602 2362 2403 3204 3543 4724 4806 7086 9612 10629 14172 21258 31887 42516 63774 105109 127548 210218 315327 391627 420436 630654 783254 945981 1174881 1261308 1566508 1891962 2349762 2837943 3524643 3783924 4699524 5675886 7049286 10573929 11351772 14098572 21147858 34854803 42295716 69709606 104564409 139419212 209128818 313693227 418257636 462511487 627386454 925022974 941079681 1254772908 1387534461 1850045948 1882159362 2775068922 3764318724 4162603383 5550137844 8325206766 12487810149 16650413532 24975620298 41163522343 49951240596 82327044686 123490567029 164654089372 246981134058 370471701087 493962268116 740943402174 1111415103261 1481886804348 2222830206522 4445660413044