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14252435300 = 22522359127827
BaseRepresentation
bin11010100011000001…
…01110011101100100
31100210021110201201002
431101200232131210
5213142110412200
610314131052432
71013121462335
oct152140563544
940707421632
1014252435300
116054145654
122919141118
1314619c4b8c
14992c2828c
15586398bd5
hex35182e764

14252435300 has 144 divisors (see below), whose sum is σ = 33117880320. Its totient is φ = 5312039040.

The previous prime is 14252435257. The next prime is 14252435317. The reversal of 14252435300 is 353425241.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17233487 + ... + 17234313.

It is an arithmetic number, because the mean of its divisors is an integer number (229985280).

Almost surely, 214252435300 is an apocalyptic number.

14252435300 is a gapful number since it is divisible by the number (10) 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 14252435300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16558940160).

14252435300 is an abundant number, since it is smaller than the sum of its proper divisors (18865445020).

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

14252435300 is a wasteful number, since it uses less digits than its factorization.

14252435300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 14252435300 in words is "fourteen billion, two hundred fifty-two million, four hundred thirty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 59 92 100 115 118 127 230 236 254 295 460 508 575 590 635 827 1150 1180 1270 1357 1475 1654 2300 2540 2714 2921 2950 3175 3308 4135 5428 5842 5900 6350 6785 7493 8270 11684 12700 13570 14605 14986 16540 19021 20675 27140 29210 29972 33925 37465 38042 41350 48793 58420 67850 73025 74930 76084 82700 95105 97586 105029 135700 146050 149860 172339 187325 190210 195172 210058 243965 292100 344678 374650 380420 420116 475525 487930 525145 689356 749300 861695 951050 975860 1050290 1122239 1219825 1723390 1902100 2100580 2244478 2415667 2439650 2625725 3446780 4308475 4488956 4831334 4879300 5251450 5611195 6196711 8616950 9662668 10502900 11222390 12078335 12393422 17233900 22444780 24156670 24786844 28055975 30983555 48313340 56111950 60391675 61967110 112223900 120783350 123934220 142524353 154917775 241566700 285048706 309835550 570097412 619671100 712621765 1425243530 2850487060 3563108825 7126217650 14252435300