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144452333340 = 22345712738301
BaseRepresentation
bin1000011010001000000…
…1111010111100011100
3111210212010112211220000
42012202001322330130
54331314244131330
6150205510454300
713302443400660
oct2064201727434
9453763484800
10144452333340
1156297638077
1223bb4964390
1310811119473
146dc4a8a8a0
153b56a46560
hex21a207af1c

144452333340 has 120 divisors (see below), whose sum is σ = 517888406112. Its totient is φ = 33017673600.

The previous prime is 144452333323. The next prime is 144452333341. The reversal of 144452333340 is 43333254441.

It is a happy number.

144452333340 is a `hidden beast` number, since 1 + 44 + 45 + 233 + 3 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144452333295 and 144452333304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144452333341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6357811 + ... + 6380490.

Almost surely, 2144452333340 is an apocalyptic number.

144452333340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144452333340 is an abundant number, since it is smaller than the sum of its proper divisors (373436072772).

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

144452333340 is a wasteful number, since it uses less digits than its factorization.

144452333340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12738329 (or 12738318 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 144452333340 its reverse (43333254441), we get a palindrome (187785587781).

The spelling of 144452333340 in words is "one hundred forty-four billion, four hundred fifty-two million, three hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 12738301 25476602 38214903 50953204 63691505 76429806 89168107 114644709 127383010 152859612 178336214 191074515 229289418 254766020 267504321 343934127 356672428 382149030 445840535 458578836 535008642 573223545 687868254 764298060 802512963 891681070 1031802381 1070017284 1146447090 1337521605 1375736508 1605025926 1719670635 1783362140 2063604762 2292894180 2407538889 2675043210 3210051852 3439341270 4012564815 4127209524 4815077778 5159011905 5350086420 6878682540 7222616667 8025129630 9630155556 10318023810 12037694445 14445233334 16050259260 20636047620 24075388890 28890466668 36113083335 48150777780 72226166670 144452333340