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144040253340 = 223537311208627
BaseRepresentation
bin1000011000100101110…
…1111101011110011100
3111202210102011000101210
42012021131331132130
54324443301101330
6150100550304420
713256310644364
oct2061135753634
9452712130353
10144040253340
11560a5a71295
1223aba958110
1310776938649
146d8605d9a4
153b307988b0
hex218977d79c

144040253340 has 96 divisors (see below), whose sum is σ = 415546919424. Its totient is φ = 37252258560.

The previous prime is 144040253311. The next prime is 144040253341. The reversal of 144040253340 is 43352040441.

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

It is a junction number, because it is equal to n+sod(n) for n = 144040253298 and 144040253307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144040253341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586107 + ... + 794733.

It is an arithmetic number, because the mean of its divisors is an integer number (4328613744).

Almost surely, 2144040253340 is an apocalyptic number.

144040253340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144040253340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207773459712).

144040253340 is an abundant number, since it is smaller than the sum of its proper divisors (271506666084).

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

144040253340 is a wasteful number, since it uses less digits than its factorization.

144040253340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208987 (or 208985 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 144040253340 its reverse (43352040441), we get a palindrome (187392293781).

The spelling of 144040253340 in words is "one hundred forty-four billion, forty million, two hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 311 370 444 555 622 740 933 1110 1244 1555 1866 2220 3110 3732 4665 6220 9330 11507 18660 23014 34521 46028 57535 69042 115070 138084 172605 208627 230140 345210 417254 625881 690420 834508 1043135 1251762 2086270 2503524 3129405 4172540 6258810 7719199 12517620 15438398 23157597 30876796 38595995 46315194 64882997 77191990 92630388 115787985 129765994 154383980 194648991 231575970 259531988 324414985 389297982 463151940 648829970 778595964 973244955 1297659940 1946489910 2400670889 3892979820 4801341778 7202012667 9602683556 12003354445 14404025334 24006708890 28808050668 36010063335 48013417780 72020126670 144040253340