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13944441576 = 233133111291277
BaseRepresentation
bin11001111110010011…
…10100101011101000
31022222210221000202010
430333021310223220
5212024234112301
610223405435520
71002361540422
oct147711645350
938883830663
1013944441576
115a0630138a
122851b6bba0
131412c58780
14963d73812
1556930b5d6
hex33f274ae8

13944441576 has 128 divisors (see below), whose sum is σ = 38818483200. Its totient is φ = 4145264640.

The previous prime is 13944441557. The next prime is 13944441659. The reversal of 13944441576 is 67514444931.

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 31 ways as a sum of consecutive naturals, for example, 10919050 + ... + 10920326.

It is an arithmetic number, because the mean of its divisors is an integer number (303269400).

Almost surely, 213944441576 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 13944441576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19409241600).

13944441576 is an abundant number, since it is smaller than the sum of its proper divisors (24874041624).

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

13944441576 is a wasteful number, since it uses less digits than its factorization.

13944441576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459 (or 2455 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 13944441576 in words is "thirteen billion, nine hundred forty-four million, four hundred forty-one thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1129 1209 1277 1612 2258 2418 2554 3224 3387 3831 4516 4836 5108 6774 7662 9032 9672 10216 13548 14677 15324 16601 27096 29354 30648 33202 34999 39587 44031 49803 58708 66404 69998 79174 88062 99606 104997 117416 118761 132808 139996 158348 176124 199212 209994 237522 279992 316696 352248 398424 419988 454987 475044 514631 839976 909974 950088 1029262 1364961 1441733 1543893 1819948 2058524 2729922 2883466 3087786 3639896 4117048 4325199 5459844 5766932 6175572 8650398 10919688 11533864 12351144 17300796 18742529 34601592 37485058 44693723 56227587 74970116 89387446 112455174 134081169 149940232 178774892 224910348 268162338 357549784 449820696 536324676 581018399 1072649352 1162036798 1743055197 2324073596 3486110394 4648147192 6972220788 13944441576