Search a number
-
+
141221130320 = 2455929919731
BaseRepresentation
bin1000001110000101101…
…1110111000001010000
3111111111221110201122002
42003201123313001100
54303210102132240
6144513122533132
713126406542004
oct2034133670120
9444457421562
10141221130320
1154989712456
12234528071a8
131041787420a
146b9989c704
153a18032d15
hex20e16f7050

141221130320 has 40 divisors (see below), whose sum is σ = 333904209120. Its totient is φ = 55531018880.

The previous prime is 141221130307. The next prime is 141221130367. The reversal of 141221130320 is 23031122141.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 141221130292 and 141221130301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14955146 + ... + 14964585.

It is an arithmetic number, because the mean of its divisors is an integer number (8347605228).

Almost surely, 2141221130320 is an apocalyptic number.

141221130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141221130320 is an abundant number, since it is smaller than the sum of its proper divisors (192683078800).

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

141221130320 is a wasteful number, since it uses less digits than its factorization.

141221130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29919803 (or 29919797 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 141221130320 its reverse (23031122141), we get a palindrome (164252252461).

The spelling of 141221130320 in words is "one hundred forty-one billion, two hundred twenty-one million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2360 4720 29919731 59839462 119678924 149598655 239357848 299197310 478715696 598394620 1196789240 1765264129 2393578480 3530528258 7061056516 8826320645 14122113032 17652641290 28244226064 35305282580 70610565160 141221130320