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13840514874 = 2341993731151
BaseRepresentation
bin11001110001111010…
…10111111100111010
31022201120101000010000
430320331113330322
5211321132433444
610205214133430
7666660302214
oct147075277472
938646330100
1013840514874
11596267874a
1228231b1276
1313c756b894
1495423d5b4
1556012d469
hex338f57f3a

13840514874 has 80 divisors (see below), whose sum is σ = 31279564800. Its totient is φ = 4574037600.

The previous prime is 13840514843. The next prime is 13840514899. The reversal of 13840514874 is 47841504831.

13840514874 is a `hidden beast` number, since 1 + 38 + 405 + 148 + 74 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12024199 + ... + 12025349.

It is an arithmetic number, because the mean of its divisors is an integer number (390994560).

Almost surely, 213840514874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13840514874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15639782400).

13840514874 is an abundant number, since it is smaller than the sum of its proper divisors (17439049926).

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

13840514874 is a wasteful number, since it uses less digits than its factorization.

13840514874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 13840514874 in words is "thirteen billion, eight hundred forty million, five hundred fourteen thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 199 373 398 597 746 1119 1151 1194 1791 2238 2302 3357 3453 3582 5373 6714 6906 10071 10359 10746 16119 20142 20718 30213 31077 32238 60426 62154 74227 93231 148454 186462 222681 229049 429323 445362 458098 668043 687147 858646 1287969 1336086 1374294 2004129 2061441 2575938 3863907 4008258 4122882 6012387 6184323 7727814 11591721 12024774 12368646 18552969 23183442 34775163 37105938 69550326 85435277 170870554 256305831 512611662 768917493 1537834986 2306752479 4613504958 6920257437 13840514874