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14850028144 = 247292374261
BaseRepresentation
bin11011101010010000…
…10111001001110000
31102022220221120222101
431311020113021300
5220403101400034
610453315350144
71033666104460
oct156510271160
942286846871
1014850028144
1163304a9a36
122a652b2354
131528759c03
14a0c345ba0
155bda8d514
hex375217270

14850028144 has 120 divisors (see below), whose sum is σ = 34983791648. Its totient is φ = 5977359360.

The previous prime is 14850028117. The next prime is 14850028157. The reversal of 14850028144 is 44182005841.

It is a super-3 number, since 3×148500281443 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3482974 + ... + 3487234.

Almost surely, 214850028144 is an apocalyptic number.

14850028144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14850028144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17491895824).

14850028144 is an abundant number, since it is smaller than the sum of its proper divisors (20133763504).

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

14850028144 is a wasteful number, since it uses less digits than its factorization.

14850028144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4371 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 37.

The spelling of 14850028144 in words is "fourteen billion, eight hundred fifty million, twenty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 37 56 58 74 112 116 148 203 232 259 296 406 464 518 592 812 841 1036 1073 1624 1682 2072 2146 3248 3364 4144 4261 4292 5887 6728 7511 8522 8584 11774 13456 15022 17044 17168 23548 29827 30044 31117 34088 47096 59654 60088 62234 68176 94192 119308 120176 123569 124468 157657 217819 238616 247138 248936 315314 435638 477232 494276 497872 630628 864983 871276 988552 1103599 1261256 1729966 1742552 1977104 2207198 2522512 3459932 3485104 3583501 4414396 4572053 6919864 7167002 8828792 9144106 13839728 14334004 17657584 18288212 25084507 28668008 32004371 36576424 50169014 57336016 64008742 73152848 100338028 128017484 132589537 200676056 256034968 265179074 401352112 512069936 530358148 928126759 1060716296 1856253518 2121432592 3712507036 7425014072 14850028144