Search a number
-
+
144665040 = 243513199233
BaseRepresentation
bin10001001111101…
…10100111010000
3101002012202010110
420213312213100
5244013240130
622204401320
73404426652
oct1047664720
9332182113
10144665040
1174728a93
1240546240
1323c81820
14152da6d2
15ca78ab0
hex89f69d0

144665040 has 160 divisors (see below), whose sum is σ = 487468800. Its totient is φ = 35278848.

The previous prime is 144665033. The next prime is 144665047. The reversal of 144665040 is 40566441.

144665040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144665033) and next prime (144665047).

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 = 144664989 and 144665007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144665047) 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, 620764 + ... + 620996.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2144665040 is an apocalyptic number.

144665040 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 144665040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243734400).

144665040 is an abundant number, since it is smaller than the sum of its proper divisors (342803760).

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

144665040 is a wasteful number, since it uses less digits than its factorization.

144665040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 144665040 is about 12027.6780801616. The cubic root of 144665040 is about 524.9539370017.

The spelling of 144665040 in words is "one hundred forty-four million, six hundred sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 199 208 233 240 260 312 390 398 466 520 597 624 699 780 796 932 995 1040 1165 1194 1398 1560 1592 1864 1990 2330 2388 2587 2796 2985 3029 3120 3184 3495 3728 3980 4660 4776 5174 5592 5970 6058 6990 7761 7960 9087 9320 9552 10348 11184 11940 12116 12935 13980 15145 15522 15920 18174 18640 20696 23880 24232 25870 27960 30290 31044 36348 38805 41392 45435 46367 47760 48464 51740 55920 60580 62088 72696 77610 90870 92734 103480 121160 124176 139101 145392 155220 181740 185468 206960 231835 242320 278202 310440 363480 370936 463670 556404 602771 620880 695505 726960 741872 927340 1112808 1205542 1391010 1808313 1854680 2225616 2411084 2782020 3013855 3616626 3709360 4822168 5564040 6027710 7233252 9041565 9644336 11128080 12055420 14466504 18083130 24110840 28933008 36166260 48221680 72332520 144665040