Search a number
-
+
144204515040 = 2535829736209
BaseRepresentation
bin1000011001001101000…
…0100100011011100000
3111210012212020101002110
42012103100210123200
54330312323440130
6150125135115320
713263344103435
oct2062320443340
9453185211073
10144204515040
115617a764563
1223b45972b40
13107a198bb11
146d9dbbbb8c
153b3ede3ab0
hex21934246e0

144204515040 has 96 divisors (see below), whose sum is σ = 454311516960. Its totient is φ = 38448840704.

The previous prime is 144204515033. The next prime is 144204515041. The reversal of 144204515040 is 40515402441.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 144204514989 and 144204515007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144204515041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3964456 + ... + 4000664.

It is an arithmetic number, because the mean of its divisors is an integer number (4732411635).

Almost surely, 2144204515040 is an apocalyptic number.

144204515040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144204515040 is an abundant number, since it is smaller than the sum of its proper divisors (310107001920).

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

144204515040 is a wasteful number, since it uses less digits than its factorization.

144204515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44524 (or 44516 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 144204515040 its reverse (40515402441), we get a palindrome (184719917481).

The spelling of 144204515040 in words is "one hundred forty-four billion, two hundred four million, five hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8297 16594 24891 33188 36209 41485 49782 66376 72418 82970 99564 108627 124455 132752 144836 165940 181045 199128 217254 248910 265504 289672 331880 362090 398256 434508 497820 543135 579344 663760 724180 796512 869016 995640 1086270 1158688 1327520 1448360 1738032 1991280 2172540 2896720 3476064 3982560 4345080 5793440 8690160 17380320 300426073 600852146 901278219 1201704292 1502130365 1802556438 2403408584 3004260730 3605112876 4506391095 4806817168 6008521460 7210225752 9012782190 9613634336 12017042920 14420451504 18025564380 24034085840 28840903008 36051128760 48068171680 72102257520 144204515040