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21314000505120 = 253544404167719
BaseRepresentation
bin1001101100010100011010…
…11011011100100100100000
32210110121011100020022100120
410312022031123130210200
510243202033112130440
6113155303333120240
74326612542024421
oct466121533344440
983417140208316
1021314000505120
1168782426a2a14
122482967789080
13bb7b94b35c1b
14539862db1648
1526e65ce8ddd0
hex13628d6dc920

21314000505120 has 48 divisors (see below), whose sum is σ = 67139101592640. Its totient is φ = 5683733467904.

The previous prime is 21314000505043. The next prime is 21314000505139. The reversal of 21314000505120 is 2150500041312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 22202083380 + ... + 22202084339.

It is an arithmetic number, because the mean of its divisors is an integer number (1398731283180).

Almost surely, 221314000505120 is an apocalyptic number.

21314000505120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21314000505120 is an abundant number, since it is smaller than the sum of its proper divisors (45825101087520).

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

21314000505120 is a wasteful number, since it uses less digits than its factorization.

21314000505120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44404167737 (or 44404167729 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 21314000505120 its reverse (2150500041312), we get a palindrome (23464500546432).

The spelling of 21314000505120 in words is "twenty-one trillion, three hundred fourteen billion, five hundred five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 44404167719 88808335438 133212503157 177616670876 222020838595 266425006314 355233341752 444041677190 532850012628 666062515785 710466683504 888083354380 1065700025256 1332125031570 1420933367008 1776166708760 2131400050512 2664250063140 3552333417520 4262800101024 5328500126280 7104666835040 10657000252560 21314000505120