Search a number
-
+
14127685700 = 2252415958403
BaseRepresentation
bin11010010100001001…
…10110000001000100
31100110120201210102112
431022010312001010
5212413141420300
610253513200152
71010045230022
oct151204660104
940416653375
1014127685700
115a9a78a407
1228a3400058
131441bc714b
14980433712
1557a455e35
hex34a136044

14127685700 has 72 divisors (see below), whose sum is σ = 31937643360. Its totient is φ = 5419705600.

The previous prime is 14127685687. The next prime is 14127685703. The reversal of 14127685700 is 758672141.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (14127685703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212699 + ... + 271101.

It is an arithmetic number, because the mean of its divisors is an integer number (443578380).

Almost surely, 214127685700 is an apocalyptic number.

14127685700 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 14127685700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15968821680).

14127685700 is an abundant number, since it is smaller than the sum of its proper divisors (17809957660).

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

14127685700 is a wasteful number, since it uses less digits than its factorization.

14127685700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58517 (or 58510 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 41.

The spelling of 14127685700 in words is "fourteen billion, one hundred twenty-seven million, six hundred eighty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 41 50 59 82 100 118 164 205 236 295 410 590 820 1025 1180 1475 2050 2419 2950 4100 4838 5900 9676 12095 24190 48380 58403 60475 116806 120950 233612 241900 292015 584030 1168060 1460075 2394523 2920150 3445777 4789046 5840300 6891554 9578092 11972615 13783108 17228885 23945230 34457770 47890460 59863075 68915540 86144425 119726150 141276857 172288850 239452300 282553714 344577700 565107428 706384285 1412768570 2825537140 3531921425 7063842850 14127685700