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144220014240 = 2535456765789
BaseRepresentation
bin1000011001010000101…
…1101100011010100000
3111210020221101210222220
42012110023230122200
54330330310423430
6150130451231040
713263622615551
oct2062413543240
9453227353886
10144220014240
1156188490315
1223b4aba8480
13107a4c57743
146da1c94328
153b41456110
hex21942ec6a0

144220014240 has 96 divisors (see below), whose sum is σ = 454399424640. Its totient is φ = 38449665024.

The previous prime is 144220014229. The next prime is 144220014247. The reversal of 144220014240 is 42410022441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 144220014240.

It is not an unprimeable number, because it can be changed into a prime (144220014247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2159266 + ... + 2225054.

It is an arithmetic number, because the mean of its divisors is an integer number (4733327340).

Almost surely, 2144220014240 is an apocalyptic number.

144220014240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144220014240 is an abundant number, since it is smaller than the sum of its proper divisors (310179410400).

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

144220014240 is a wasteful number, since it uses less digits than its factorization.

144220014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70374 (or 70366 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 144220014240 its reverse (42410022441), we get a palindrome (186630036681).

The spelling of 144220014240 in words is "one hundred forty-four billion, two hundred twenty million, fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4567 9134 13701 18268 22835 27402 36536 45670 54804 65789 68505 73072 91340 109608 131578 137010 146144 182680 197367 219216 263156 274020 328945 365360 394734 438432 526312 548040 657890 730720 789468 986835 1052624 1096080 1315780 1578936 1973670 2105248 2192160 2631560 3157872 3947340 5263120 6315744 7894680 10526240 15789360 31578720 300458363 600916726 901375089 1201833452 1502291815 1802750178 2403666904 3004583630 3605500356 4506875445 4807333808 6009167260 7211000712 9013750890 9614667616 12018334520 14422001424 18027501780 24036669040 28844002848 36055003560 48073338080 72110007120 144220014240