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14024460648 = 233111271812311
BaseRepresentation
bin11010000111110110…
…00100100101101000
31100012101111102021110
431003323010211220
5212210230220043
610235344510320
71004352643242
oct150373044550
940171442243
1014024460648
115a47495950
12287491b3a0
1314266c4733
14970843092
15571365b33
hex343ec4968

14024460648 has 128 divisors (see below), whose sum is σ = 38779453440. Its totient is φ = 4191264000.

The previous prime is 14024460647. The next prime is 14024460683. The reversal of 14024460648 is 84606442041.

It is not an unprimeable number, because it can be changed into a prime (14024460643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6067413 + ... + 6069723.

It is an arithmetic number, because the mean of its divisors is an integer number (302964480).

Almost surely, 214024460648 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 14024460648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19389726720).

14024460648 is an abundant number, since it is smaller than the sum of its proper divisors (24754992792).

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

14024460648 is a wasteful number, since it uses less digits than its factorization.

14024460648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 14024460648 in words is "fourteen billion, twenty-four million, four hundred sixty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 127 132 181 254 264 362 381 508 543 724 762 1016 1086 1397 1448 1524 1991 2172 2311 2794 3048 3982 4191 4344 4622 5588 5973 6933 7964 8382 9244 11176 11946 13866 15928 16764 18488 22987 23892 25421 27732 33528 45974 47784 50842 55464 68961 76263 91948 101684 137922 152526 183896 203368 252857 275844 293497 305052 418291 505714 551688 586994 610104 758571 836582 880491 1011428 1173988 1254873 1517142 1673164 1760982 2022856 2347976 2509746 3034284 3228467 3346328 3521964 4601201 5019492 6068568 6456934 7043928 9202402 9685401 10038984 12913868 13803603 18404804 19370802 25827736 27607206 36809608 38741604 53122957 55214412 77483208 106245914 110428824 159368871 212491828 318737742 424983656 584352527 637475484 1168705054 1274950968 1753057581 2337410108 3506115162 4674820216 7012230324 14024460648