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144100113241240 = 23513231767244747
BaseRepresentation
bin100000110000111011101100…
…000011111101010010011000
3200220012211120122122211120001
4200300323230003331102120
5122341414012442204430
61230250402251142344
742231614065562122
oct4060735403752230
9626184518584501
10144100113241240
1141a07573273812
12141b36984449b4
136253775617300
1427826a8728212
15119d5945ee3ca
hex830eec0fd498

144100113241240 has 96 divisors (see below), whose sum is σ = 352191677860080. Its totient is φ = 53038351981056.

The previous prime is 144100113241181. The next prime is 144100113241261. The reversal of 144100113241240 is 42142311001441.

It is a happy number.

It is a super-2 number, since 2×1441001132412402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144100113241199 and 144100113241208.

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, 31479454 + ... + 35765293.

Almost surely, 2144100113241240 is an apocalyptic number.

144100113241240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144100113241240 is an abundant number, since it is smaller than the sum of its proper divisors (208091564618840).

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

144100113241240 is a wasteful number, since it uses less digits than its factorization.

144100113241240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67245101 (or 67245084 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 144100113241240 its reverse (42142311001441), we get a palindrome (186242424242681).

The spelling of 144100113241240 in words is "one hundred forty-four trillion, one hundred billion, one hundred thirteen million, two hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 317 338 520 634 676 845 1268 1352 1585 1690 2536 3170 3380 4121 6340 6760 8242 12680 16484 20605 32968 41210 53573 82420 107146 164840 214292 267865 428584 535730 1071460 2142920 67244747 134489494 268978988 336223735 537957976 672447470 874181711 1344894940 1748363422 2689789880 3496726844 4370908555 6993453688 8741817110 11364362243 17483634220 21316584799 22728724486 34967268440 42633169598 45457448972 56821811215 85266339196 90914897944 106582923995 113643622430 170532678392 213165847990 227287244860 277115602387 426331695980 454574489720 554231204774 852663391960 1108462409548 1385578011935 2216924819096 2771156023870 3602502831031 5542312047740 7205005662062 11084624095480 14410011324124 18012514155155 28820022648248 36025028310310 72050056620620 144100113241240