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14100011552 = 2511712412341
BaseRepresentation
bin11010010000110110…
…10001101000100000
31100101122122210122002
431020123101220200
5212334100332202
610251044103132
71006261056254
oct151033215040
940348583562
1014100011552
115a860a8410
122896094aa8
131439257a03
1497a8ac264
15577cdb302
hex3486d1a20

14100011552 has 96 divisors (see below), whose sum is σ = 30850098048. Its totient is φ = 6289920000.

The previous prime is 14100011507. The next prime is 14100011557. The reversal of 14100011552 is 25511000141.

It is not an unprimeable number, because it can be changed into a prime (14100011557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6021902 + ... + 6024242.

It is an arithmetic number, because the mean of its divisors is an integer number (321355188).

Almost surely, 214100011552 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 14100011552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15425049024).

14100011552 is an abundant number, since it is smaller than the sum of its proper divisors (16750086496).

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

14100011552 is a wasteful number, since it uses less digits than its factorization.

14100011552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

Adding to 14100011552 its reverse (25511000141), we get a palindrome (39611011693).

The spelling of 14100011552 in words is "fourteen billion, one hundred million, eleven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 71 88 142 176 241 284 352 482 568 781 964 1136 1562 1928 2272 2341 2651 3124 3856 4682 5302 6248 7712 9364 10604 12496 17111 18728 21208 24992 25751 34222 37456 42416 51502 68444 74912 84832 103004 136888 166211 188221 206008 273776 332422 376442 412016 547552 564181 664844 752884 824032 1128362 1329688 1505768 1828321 2256724 2659376 3011536 3656642 4513448 5318752 6023072 6205991 7313284 9026896 12411982 14626568 18053792 24823964 29253136 40056851 49647928 58506272 80113702 99295856 160227404 198591712 320454808 440625361 640909616 881250722 1281819232 1762501444 3525002888 7050005776 14100011552