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144321332133240 = 233251921099609961
BaseRepresentation
bin100000110100001001101101…
…101111000011110101111000
3200220222222120210000220210100
4200310021231233003311320
5122404030042011230430
61230540145451515400
742253605102254043
oct4064115557036570
9626888523026710
10144321332133240
1141a923735a3599
121422a536158b60
13626b59b9bb582
14278d29293bc5a
1511a41e080c960
hex83426dbc3d78

144321332133240 has 96 divisors (see below), whose sum is σ = 493730873110800. Its totient is φ = 36460126010880.

The previous prime is 144321332133229. The next prime is 144321332133257. The reversal of 144321332133240 is 42331233123441.

144321332133240 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 2 + 1 + 3 + 321 + 3 + 324 + 0 = 666.

144321332133240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1443213321332402 (a number of 29 digits) contains 22 as substring.

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 = 144321332133195 and 144321332133204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10549798141 + ... + 10549811820.

Almost surely, 2144321332133240 is an apocalyptic number.

144321332133240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144321332133240 is an abundant number, since it is smaller than the sum of its proper divisors (349409540977560).

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

144321332133240 is a wasteful number, since it uses less digits than its factorization.

144321332133240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21099609997 (or 21099609990 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 144321332133240 its reverse (42331233123441), we get a palindrome (186652565256681).

The spelling of 144321332133240 in words is "one hundred forty-four trillion, three hundred twenty-one billion, three hundred thirty-two million, one hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 21099609961 42199219922 63298829883 84398439844 105498049805 126597659766 168796879688 189896489649 210996099610 253195319532 316494149415 379792979298 400892589259 421992199220 506390639064 632988298830 759585958596 801785178518 843984398440 949482448245 1202677767777 1265976597660 1519171917192 1603570357036 1898964896490 2004462946295 2405355535554 2531953195320 3207140714072 3608033303331 3797929792980 4008925892590 4810711071108 6013388838885 7216066606662 7595859585960 8017851785180 9621422142216 12026777677770 14432133213324 16035703570360 18040166516655 24053555355540 28864266426648 36080333033310 48107110711080 72160666066620 144321332133240