Search a number
-
+
14202501212500 = 22554813236069
BaseRepresentation
bin1100111010101100011100…
…0010100010100101010100
31212021202010201200101202221
43032223013002202211110
53330143210302300000
650112312230512124
72664045135303226
oct316530702424524
955252121611687
1014202501212500
114586279748857
121714658b05644
137c03a0508403
143715947d8416
1519968dc3c61a
hexceac70a2954

14202501212500 has 72 divisors (see below), whose sum is σ = 31072569275160. Its totient is φ = 5679796080000.

The previous prime is 14202501212461. The next prime is 14202501212533. The reversal of 14202501212500 is 521210520241.

It can be written as a sum of positive squares in 12 ways, for example, as 13610654104644 + 591847107856 = 3689262^2 + 769316^2 .

It is a super-2 number, since 2×142025012125002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 60044466 + ... + 60280534.

It is an arithmetic number, because the mean of its divisors is an integer number (431563462155).

Almost surely, 214202501212500 is an apocalyptic number.

14202501212500 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 14202501212500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15536284637580).

14202501212500 is an abundant number, since it is smaller than the sum of its proper divisors (16870068062660).

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

14202501212500 is an equidigital number, since it uses as much as digits as its factorization.

14202501212500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240911 (or 240889 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 14202501212500 its reverse (521210520241), we get a palindrome (14723711732741).

The spelling of 14202501212500 in words is "fourteen trillion, two hundred two billion, five hundred one million, two hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 3125 4813 6250 9626 12500 19252 24065 48130 96260 120325 236069 240650 472138 481300 601625 944276 1180345 1203250 2360690 2406500 3008125 4721380 5901725 6016250 11803450 12032500 15040625 23606900 29508625 30081250 59017250 60162500 118034500 147543125 295086250 590172500 737715625 1136200097 1475431250 2272400194 2950862500 4544800388 5681000485 11362000970 22724001940 28405002425 56810004850 113620009700 142025012125 284050024250 568100048500 710125060625 1420250121250 2840500242500 3550625303125 7101250606250 14202501212500