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144001410224430 = 235111094003375319
BaseRepresentation
bin100000101111011111110000…
…111001110101000100101110
3200212212101210212112001202210
4200233133300321311010232
5122333304342004140210
61230133200135031250
742221521121020533
oct4057376071650456
9625771725461683
10144001410224430
1141979722a65350
1214198530b0b526
136247375727655
14277b9c3a40d8a
15119ac191aae20
hex82f7f0e7512e

144001410224430 has 64 divisors (see below), whose sum is σ = 380480790412800. Its totient is φ = 34589162747520.

The previous prime is 144001410224389. The next prime is 144001410224447. The reversal of 144001410224430 is 34422014100441.

It is a happy number.

It is a super-2 number, since 2×1440014102244302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2001651690 + ... + 2001723629.

It is an arithmetic number, because the mean of its divisors is an integer number (5945012350200).

Almost surely, 2144001410224430 is an apocalyptic number.

144001410224430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144001410224430 is an abundant number, since it is smaller than the sum of its proper divisors (236479380188370).

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

144001410224430 is a wasteful number, since it uses less digits than its factorization.

144001410224430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4003375449.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 144001410224430 its reverse (34422014100441), we get a palindrome (178423424324871).

The spelling of 144001410224430 in words is "one hundred forty-four trillion, one billion, four hundred ten million, two hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 109 110 165 218 327 330 545 654 1090 1199 1635 2398 3270 3597 5995 7194 11990 17985 35970 4003375319 8006750638 12010125957 20016876595 24020251914 40033753190 44037128509 60050629785 88074257018 120101259570 132111385527 220185642545 264222771054 436367909771 440371285090 660556927635 872735819542 1309103729313 1321113855270 2181839548855 2618207458626 4363679097710 4800047007481 6545518646565 9600094014962 13091037293130 14400141022443 24000235037405 28800282044886 48000470074810 72000705112215 144001410224430