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44106021360 = 24325585710459
BaseRepresentation
bin101001000100111011…
…000111100111110000
311012211211021000220200
4221010323013213300
51210312120140420
632132333035200
73120662665362
oct510473074760
9135754230820
1044106021360
1117783776725
12866b025b00
13420b9453bb
1421c5a3cd32
151232200b90
hexa44ec79f0

44106021360 has 120 divisors (see below), whose sum is σ = 148162176240. Its totient is φ = 11758473216.

The previous prime is 44106021343. The next prime is 44106021367. The reversal of 44106021360 is 6312060144.

44106021360 is a `hidden beast` number, since 4 + 41 + 0 + 602 + 13 + 6 + 0 = 666.

44106021360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×441060213602 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44106021367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4211811 + ... + 4222269.

It is an arithmetic number, because the mean of its divisors is an integer number (1234684802).

Almost surely, 244106021360 is an apocalyptic number.

44106021360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44106021360 is an abundant number, since it is smaller than the sum of its proper divisors (104056154880).

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

44106021360 is a wasteful number, since it uses less digits than its factorization.

44106021360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16335 (or 16326 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 44106021360 in words is "forty-four billion, one hundred six million, twenty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 5857 10459 11714 17571 20918 23428 29285 31377 35142 41836 46856 52295 52713 58570 62754 70284 83672 87855 93712 94131 104590 105426 117140 125508 140568 156885 167344 175710 188262 209180 210852 234280 251016 263565 281136 313770 351420 376524 418360 421704 468560 470655 502032 527130 627540 702840 753048 836720 843408 941310 1054260 1255080 1405680 1506096 1882620 2108520 2510160 3765240 4217040 7530480 61258363 122516726 183775089 245033452 306291815 367550178 490066904 551325267 612583630 735100356 918875445 980133808 1102650534 1225167260 1470200712 1837750890 2205301068 2450334520 2756626335 2940401424 3675501780 4410602136 4900669040 5513252670 7351003560 8821204272 11026505340 14702007120 22053010680 44106021360