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1014302149722 = 23479149531911
BaseRepresentation
bin11101100001010010001…
…11101000110001011010
310120222002110102220120000
432300221013220301122
5113104242322242342
62053544115113430
7133165232006361
oct16605107506132
93528073386500
101014302149722
11361188136744
121446b38a2876
1374857378b24
1437141ad27d8
151b5b718044c
hexec291e8c5a

1014302149722 has 80 divisors (see below), whose sum is σ = 2317008672000. Its totient is φ = 331579928160.

The previous prime is 1014302149667. The next prime is 1014302149873. The reversal of 1014302149722 is 2279412034101.

1014302149722 is a `hidden beast` number, since 1 + 0 + 1 + 430 + 214 + 9 + 7 + 2 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1640947 + ... + 2172857.

It is an arithmetic number, because the mean of its divisors is an integer number (28962608400).

Almost surely, 21014302149722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014302149722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158504336000).

1014302149722 is an abundant number, since it is smaller than the sum of its proper divisors (1302706522278).

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

1014302149722 is a wasteful number, since it uses less digits than its factorization.

1014302149722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532153 (or 532144 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1014302149722 in words is "one trillion, fourteen billion, three hundred two million, one hundred forty-nine thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 79 81 149 158 162 237 298 447 474 711 894 1341 1422 2133 2682 4023 4266 6399 8046 11771 12069 12798 23542 24138 35313 70626 105939 211878 317817 531911 635634 953451 1063822 1595733 1906902 3191466 4787199 9574398 14361597 28723194 42020969 43084791 79254739 84041938 86169582 126062907 158509478 237764217 252125814 378188721 475528434 713292651 756377442 1134566163 1426585302 2139877953 2269132326 3403698489 4279755906 6261124381 6419633859 6807396978 12522248762 12839267718 18783373143 37566746286 56350119429 112700238858 169050358287 338100716574 507151074861 1014302149722