Search a number
-
+
144104401042320 = 24351453413238131
BaseRepresentation
bin100000110000111111101011…
…101000100111101110010000
3200220020020122110220200212110
4200300333223220213232100
5122342001303131323240
61230252351541425320
742232125252356655
oct4060775350475620
9626206573820773
10144104401042320
1141a0937365a174
12141b449440b240
136253ca9a55104
142782993d97c2c
15119d745c73c80
hex830feba27b90

144104401042320 has 80 divisors (see below), whose sum is σ = 447031093482432. Its totient is φ = 38401392944640.

The previous prime is 144104401042313. The next prime is 144104401042387. The reversal of 144104401042320 is 23240104401441.

It is a happy number.

144104401042320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206270346 + ... + 206967785.

Almost surely, 2144104401042320 is an apocalyptic number.

144104401042320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144104401042320 is an abundant number, since it is smaller than the sum of its proper divisors (302926692440112).

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

144104401042320 is a wasteful number, since it uses less digits than its factorization.

144104401042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413239600 (or 413239594 counting only the distinct ones).

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

Adding to 144104401042320 its reverse (23240104401441), we get a palindrome (167344505443761).

The spelling of 144104401042320 in words is "one hundred forty-four trillion, one hundred four billion, four hundred one million, forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1453 2906 4359 5812 7265 8718 11624 14530 17436 21795 23248 29060 34872 43590 58120 69744 87180 116240 174360 348720 413238131 826476262 1239714393 1652952524 2066190655 2479428786 3305905048 4132381310 4958857572 6198571965 6611810096 8264762620 9917715144 12397143930 16529525240 19835430288 24794287860 33059050480 49588575720 99177151440 600435004343 1200870008686 1801305013029 2401740017372 3002175021715 3602610026058 4803480034744 6004350043430 7205220052116 9006525065145 9606960069488 12008700086860 14410440104232 18013050130290 24017400173720 28820880208464 36026100260580 48034800347440 72052200521160 144104401042320