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144401712 = 24371322543
BaseRepresentation
bin10001001101101…
…10010100110000
3101001201100220120
420212312110300
5243431323322
622155010240
73402252150
oct1046662460
9331640816
10144401712
1174569164
1240439980
1323bbba00
141526c760
15ca25a5c
hex89b6530

144401712 has 120 divisors (see below), whose sum is σ = 461827584. Its totient is φ = 38068992.

The previous prime is 144401687. The next prime is 144401749. The reversal of 144401712 is 217104441.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 55513 + ... + 58055.

Almost surely, 2144401712 is an apocalyptic number.

144401712 is a gapful number since it is divisible by the number (12) 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 144401712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230913792).

144401712 is an abundant number, since it is smaller than the sum of its proper divisors (317425872).

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

144401712 is a wasteful number, since it uses less digits than its factorization.

144401712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 144401712 is about 12016.7263428939. The cubic root of 144401712 is about 524.6352259760.

It can be divided in two parts, 144 and 401712, that added together give a triangular number (401856 = T896).

The spelling of 144401712 in words is "one hundred forty-four million, four hundred one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 169 182 208 273 312 336 338 364 507 546 624 676 728 1014 1092 1183 1352 1456 2028 2184 2366 2543 2704 3549 4056 4368 4732 5086 7098 7629 8112 9464 10172 14196 15258 17801 18928 20344 28392 30516 33059 35602 40688 53403 56784 61032 66118 71204 99177 106806 122064 132236 142408 198354 213612 231413 264472 284816 396708 427224 429767 462826 528944 694239 793416 854448 859534 925652 1289301 1388478 1586832 1719068 1851304 2578602 2776956 3008369 3438136 3702608 5157204 5553912 6016738 6876272 9025107 10314408 11107824 12033476 18050214 20628816 24066952 36100428 48133904 72200856 144401712