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14534042624 = 21019174311
BaseRepresentation
bin11011000100100101…
…11110010000000000
31101111220100212022222
431202102332100000
5214231203330444
610402110550212
71023111216053
oct154222762000
941456325288
1014534042624
1161890a7382
122997508368
1314a815302a
149bc3b0a9a
155a0e72eee
hex3624be400

14534042624 has 44 divisors (see below), whose sum is σ = 29206399488. Its totient is φ = 7228876800.

The previous prime is 14534042587. The next prime is 14534042641. The reversal of 14534042624 is 42624043541.

It is a super-2 number, since 2×145340426242 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 158429 + ... + 232739.

Almost surely, 214534042624 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 14534042624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14603199744).

14534042624 is an abundant number, since it is smaller than the sum of its proper divisors (14672356864).

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

14534042624 is an equidigital number, since it uses as much as digits as its factorization.

14534042624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74522 (or 74504 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The spelling of 14534042624 in words is "fourteen billion, five hundred thirty-four million, forty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 191 256 382 512 764 1024 1528 3056 6112 12224 24448 48896 74311 97792 148622 195584 297244 594488 1188976 2377952 4755904 9511808 14193401 19023616 28386802 38047232 56773604 76094464 113547208 227094416 454188832 908377664 1816755328 3633510656 7267021312 14534042624