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144224002400440 = 2358719413533669
BaseRepresentation
bin100000110010101111000100…
…011011100110000010111000
3200220122200100200222012111211
4200302233010123212002320
5122400431224103303230
61230423331513532504
742243561141215104
oct4062570433460270
9626580320865454
10144224002400440
1141a55068496796
12142136b2714134
13626235a4850c1
14278869c3b0904
1511a18e5c3342a
hex832bc46e60b8

144224002400440 has 32 divisors (see below), whose sum is σ = 324541224216000. Its totient is φ = 57682984281984.

The previous prime is 144224002400353. The next prime is 144224002400449. The reversal of 144224002400440 is 44004200422441.

It is a happy number.

It is a super-2 number, since 2×1442240024004402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144224002400449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206418075 + ... + 207115594.

It is an arithmetic number, because the mean of its divisors is an integer number (10141913256750).

Almost surely, 2144224002400440 is an apocalyptic number.

144224002400440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144224002400440 is an abundant number, since it is smaller than the sum of its proper divisors (180317221815560).

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

144224002400440 is a wasteful number, since it uses less digits than its factorization.

144224002400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413542399 (or 413542395 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 31.

Adding to 144224002400440 its reverse (44004200422441), we get a palindrome (188228202822881).

The spelling of 144224002400440 in words is "one hundred forty-four trillion, two hundred twenty-four billion, two million, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 8719 17438 34876 43595 69752 87190 174380 348760 413533669 827067338 1654134676 2067668345 3308269352 4135336690 8270673380 16541346760 3605600060011 7211200120022 14422400240044 18028000300055 28844800480088 36056000600110 72112001200220 144224002400440