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14040098048 = 2829265213
BaseRepresentation
bin11010001001101101…
…01110010100000000
31100020110220212202102
431010312232110000
5212223231114143
610241104005532
71004632602314
oct150466562400
940213825672
1014040098048
115a552a6519
12287a0008a8
131429a0b232
14972953b44
155729040b8
hex344dae500

14040098048 has 54 divisors (see below), whose sum is σ = 29025512334. Its totient is φ = 6777874432.

The previous prime is 14040098041. The next prime is 14040098069. The reversal of 14040098048 is 84089004041.

It can be written as a sum of positive squares in 3 ways, for example, as 941753344 + 13098344704 = 30688^2 + 114448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14040098041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 182690 + ... + 247902.

Almost surely, 214040098048 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 14040098048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14512756167).

14040098048 is an abundant number, since it is smaller than the sum of its proper divisors (14985414286).

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

14040098048 is an frugal number, since it uses more digits than its factorization.

14040098048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65287 (or 65244 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The spelling of 14040098048 in words is "fourteen billion, forty million, ninety-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 841 928 1682 1856 3364 3712 6728 7424 13456 26912 53824 65213 107648 130426 215296 260852 521704 1043408 1891177 2086816 3782354 4173632 7564708 8347264 15129416 16694528 30258832 54844133 60517664 109688266 121035328 219376532 242070656 438753064 484141312 877506128 1755012256 3510024512 7020049024 14040098048