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444042240216 = 233121071528187
BaseRepresentation
bin1100111011000101111…
…10101110000011011000
31120110011001210222121220
412131202332232003120
524233344303141331
6535553514132040
744036531523501
oct6354276560330
91513131728556
10444042240216
111613542a5333
1272084a21020
1332b46cb1703
14176c555bba8
15b83d1eb296
hex6762fae0d8

444042240216 has 32 divisors (see below), whose sum is σ = 1110198018240. Its totient is φ = 148001757728.

The previous prime is 444042240179. The next prime is 444042240251. The reversal of 444042240216 is 612042240444.

It is a happy number.

It is a super-2 number, since 2×4440422402162 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 473526 + ... + 1054661.

It is an arithmetic number, because the mean of its divisors is an integer number (34693688070).

Almost surely, 2444042240216 is an apocalyptic number.

It is an amenable number.

444042240216 is an abundant number, since it is smaller than the sum of its proper divisors (666155778024).

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

444042240216 is a wasteful number, since it uses less digits than its factorization.

444042240216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540303 (or 1540299 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 444042240216 in words is "four hundred forty-four billion, forty-two million, two hundred forty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 12107 24214 36321 48428 72642 96856 145284 290568 1528187 3056374 4584561 6112748 9169122 12225496 18338244 36676488 18501760009 37003520018 55505280027 74007040036 111010560054 148014080072 222021120108 444042240216