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144432120030 = 235111021428671
BaseRepresentation
bin1000011010000011010…
…0110100000011011110
3111210210201111220102220
42012200310310003132
54331244110320110
6150203505330210
713302106523022
oct2064064640336
9453721456386
10144432120030
1156287191560
1223baa036966
1310809b8cc23
146dc2108382
153b54da2370
hex21a0d340de

144432120030 has 64 divisors (see below), whose sum is σ = 378520805376. Its totient is φ = 34979472000.

The previous prime is 144432120011. The next prime is 144432120031. The reversal of 144432120030 is 30021234441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144432120031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122595 + ... + 551265.

It is an arithmetic number, because the mean of its divisors is an integer number (5914387584).

Almost surely, 2144432120030 is an apocalyptic number.

144432120030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144432120030 is an abundant number, since it is smaller than the sum of its proper divisors (234088685346).

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

144432120030 is a wasteful number, since it uses less digits than its factorization.

144432120030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429713.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 144432120030 its reverse (30021234441), we get a palindrome (174453354471).

It can be divided in two parts, 144432 and 120030, that added together give a palindrome (264462).

The spelling of 144432120030 in words is "one hundred forty-four billion, four hundred thirty-two million, one hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 1021 2042 3063 5105 6126 10210 11231 15315 22462 30630 33693 56155 67386 112310 168465 336930 428671 857342 1286013 2143355 2572026 4286710 4715381 6430065 9430762 12860130 14146143 23576905 28292286 47153810 70730715 141461430 437673091 875346182 1313019273 2188365455 2626038546 4376730910 4814404001 6565096365 9628808002 13130192730 14443212003 24072020005 28886424006 48144040010 72216060015 144432120030