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44730074016 = 2534163105871
BaseRepresentation
bin101001101010000111…
…101100001110100000
311021110022112012020000
4221222013230032200
51213101344332031
632314304420000
73142311233025
oct515207541640
9137408465200
1044730074016
1117a73a62721
128804017600
1342ab012c24
14224488754c
15126bdc03e6
hexa6a1ec3a0

44730074016 has 120 divisors (see below), whose sum is σ = 132358209984. Its totient is φ = 14818412160.

The previous prime is 44730073963. The next prime is 44730074017. The reversal of 44730074016 is 61047003744.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (44730074017) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 369561 + ... + 475431.

Almost surely, 244730074016 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 44730074016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66179104992).

44730074016 is an abundant number, since it is smaller than the sum of its proper divisors (87628135968).

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

44730074016 is a wasteful number, since it uses less digits than its factorization.

44730074016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106056 (or 106039 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 44730074016 in words is "forty-four billion, seven hundred thirty million, seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 163 216 288 324 326 432 489 648 652 864 978 1296 1304 1467 1956 2592 2608 2934 3912 4401 5216 5868 7824 8802 11736 13203 15648 17604 23472 26406 35208 46944 52812 70416 105624 105871 140832 211248 211742 317613 422496 423484 635226 846968 952839 1270452 1693936 1905678 2540904 2858517 3387872 3811356 5081808 5717034 7622712 8575551 10163616 11434068 15245424 17151102 17256973 22868136 30490848 34302204 34513946 45736272 51770919 68604408 69027892 91472544 103541838 137208816 138055784 155312757 207083676 274417632 276111568 310625514 414167352 465938271 552223136 621251028 828334704 931876542 1242502056 1397814813 1656669408 1863753084 2485004112 2795629626 3727506168 4970008224 5591259252 7455012336 11182518504 14910024672 22365037008 44730074016