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144241114232340 = 223257630310502071
BaseRepresentation
bin100000110010111111000000…
…011000000011011000010100
3200220201022112020220022221200
4200302333000120003120110
5122401221300220413330
61230435241511512500
742245035163330616
oct4062770030033024
9626638466808850
10144241114232340
1141a61349698324
1214216a89388730
136263b566a2618
142789442c80db6
1511a209814aa60
hex832fc0603614

144241114232340 has 72 divisors (see below), whose sum is σ = 437537155630848. Its totient is φ = 38463789366720.

The previous prime is 144241114232329. The next prime is 144241114232387. The reversal of 144241114232340 is 43232411142441.

144241114232340 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 411 + 1 + 4 + 2 + 3 + 234 + 0 = 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 = 144241114232295 and 144241114232304.

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, 8483505 + ... + 18985575.

Almost surely, 2144241114232340 is an apocalyptic number.

144241114232340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144241114232340 is an abundant number, since it is smaller than the sum of its proper divisors (293296041398508).

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

144241114232340 is a wasteful number, since it uses less digits than its factorization.

144241114232340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10578389 (or 10578384 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 144241114232340 its reverse (43232411142441), we get a palindrome (187473525374781).

The spelling of 144241114232340 in words is "one hundred forty-four trillion, two hundred forty-one billion, one hundred fourteen million, two hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 76303 152606 228909 305212 381515 457818 686727 763030 915636 1144545 1373454 1526060 2289090 2746908 3433635 4578180 6867270 10502071 13734540 21004142 31506213 42008284 52510355 63012426 94518639 105020710 126024852 157531065 189037278 210041420 315062130 378074556 472593195 630124260 945186390 1890372780 801339523513 1602679047026 2404018570539 3205358094052 4006697617565 4808037141078 7212055711617 8013395235130 9616074282156 12020092852695 14424111423234 16026790470260 24040185705390 28848222846468 36060278558085 48080371410780 72120557116170 144241114232340