Search a number
-
+
14132103445100 = 22522910514636669
BaseRepresentation
bin1100110110100110001100…
…0000010111101001101100
31212001000102120212021121102
43031221203000113221230
53323020021440220400
650020110530222232
72656003461200654
oct315514300275154
955030376767542
1014132103445100
114559433a761a3
121702a90a24978
137b6861851744
1436bdd703d364
1519791d7599d5
hexcda63017a6c

14132103445100 has 72 divisors (see below), whose sum is σ = 31754327228400. Its totient is φ = 5452721568000.

The previous prime is 14132103445091. The next prime is 14132103445139. The reversal of 14132103445100 is 154430123141.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 729566 + ... + 5366234.

Almost surely, 214132103445100 is an apocalyptic number.

14132103445100 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 14132103445100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15877163614200).

14132103445100 is an abundant number, since it is smaller than the sum of its proper divisors (17622223783300).

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

14132103445100 is a wasteful number, since it uses less digits than its factorization.

14132103445100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637763 (or 4637756 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 14132103445100 its reverse (154430123141), we get a palindrome (14286533568241).

The spelling of 14132103445100 in words is "fourteen trillion, one hundred thirty-two billion, one hundred three million, four hundred forty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1051 1450 2102 2900 4204 5255 10510 21020 26275 30479 52550 60958 105100 121916 152395 304790 609580 761975 1523950 3047900 4636669 9273338 18546676 23183345 46366690 92733380 115916725 134463401 231833450 268926802 463666900 537853604 672317005 1344634010 2689268020 3361585025 4873139119 6723170050 9746278238 13446340100 19492556476 24365695595 48731391190 97462782380 121828477975 141321034451 243656955950 282642068902 487313911900 565284137804 706605172255 1413210344510 2826420689020 3533025861275 7066051722550 14132103445100