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144332410431220 = 2251111872909189997
BaseRepresentation
bin100000110100010100000010…
…000011011010011011110100
3200221001001011211210202122221
4200310110002003122123310
5122404220234032244340
61230545221034132124
742254446452243634
oct4064240203323364
9627031154722587
10144332410431220
1141a97038a4a860
1214230708281044
13626c645bcb68b
14278da23d906c4
1511a463d1b644a
hex8345020da6f4

144332410431220 has 96 divisors (see below), whose sum is σ = 331046496063360. Its totient is φ = 52421993955840.

The previous prime is 144332410431217. The next prime is 144332410431269. The reversal of 144332410431220 is 22134014233441.

It is a super-2 number, since 2×1443324104312202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 759561262 + ... + 759751258.

It is an arithmetic number, because the mean of its divisors is an integer number (3448401000660).

Almost surely, 2144332410431220 is an apocalyptic number.

144332410431220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144332410431220 is an abundant number, since it is smaller than the sum of its proper divisors (186714085632140).

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

144332410431220 is a wasteful number, since it uses less digits than its factorization.

144332410431220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194113 (or 194111 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 144332410431220 its reverse (22134014233441), we get a palindrome (166466424664661).

The spelling of 144332410431220 in words is "one hundred forty-four trillion, three hundred thirty-two billion, four hundred ten million, four hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1187 2374 2909 4748 5818 5935 11636 11870 13057 14545 23740 26114 29090 31999 52228 58180 63998 65285 127996 130570 159995 189997 261140 319990 379994 639980 759988 949985 1899970 2089967 3452983 3799940 4179934 6905966 8359868 10449835 13811932 17264915 20899670 34529830 37982813 41799340 69059660 75965626 151931252 189914065 225526439 379828130 451052878 552701273 759656260 902105756 1105402546 1127632195 2210805092 2255264390 2480790829 2763506365 4510528780 4961581658 5527012730 6079714003 9923163316 11054025460 12159428006 12403954145 24318856012 24807908290 30398570015 49615816580 60797140030 121594280060 656056411051 1312112822102 2624225644204 3280282055255 6560564110510 7216620521561 13121128221020 14433241043122 28866482086244 36083102607805 72166205215610 144332410431220