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144221434300 = 225210350927509
BaseRepresentation
bin1000011001010001000…
…1000111000110111100
3111210021001001221221201
42012110101013012330
54330331141344200
6150130541505244
713263640651636
oct2062421070674
9453231057851
10144221434300
1156189270219
1223b4b572224
13107a5333c08
146da2143a56
153b41636c6a
hex21944471bc

144221434300 has 72 divisors (see below), whose sum is σ = 316631296800. Its totient is φ = 57014181120.

The previous prime is 144221434183. The next prime is 144221434339. The reversal of 144221434300 is 3434122441.

It is a super-2 number, since 2×1442214343002 (a number of 23 digits) contains 22 as substring.

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, 5228946 + ... + 5256454.

It is an arithmetic number, because the mean of its divisors is an integer number (4397656900).

Almost surely, 2144221434300 is an apocalyptic number.

144221434300 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 144221434300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158315648400).

144221434300 is an abundant number, since it is smaller than the sum of its proper divisors (172409862500).

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

144221434300 is a wasteful number, since it uses less digits than its factorization.

144221434300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28135 (or 28128 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 144221434300 its reverse (3434122441), we get a palindrome (147655556741).

The spelling of 144221434300 in words is "one hundred forty-four billion, two hundred twenty-one million, four hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 509 515 1018 1030 2036 2060 2545 2575 5090 5150 10180 10300 12725 25450 27509 50900 52427 55018 104854 110036 137545 209708 262135 275090 524270 550180 687725 1048540 1310675 1375450 2621350 2750900 2833427 5242700 5666854 11333708 14002081 14167135 28004162 28334270 56008324 56668540 70010405 70835675 140020810 141671350 280041620 283342700 350052025 700104050 1400208100 1442214343 2884428686 5768857372 7211071715 14422143430 28844286860 36055358575 72110717150 144221434300