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144174416 = 24175373137
BaseRepresentation
bin10001001011111…
…10110101010000
3101001021211010012
420211332311100
5243402040131
622150054052
73400314401
oct1045766520
9331254105
10144174416
1174423411
124034a328
1323b3c409
141520d9a8
15c9cd52b
hex897ed50

144174416 has 80 divisors (see below), whose sum is σ = 307707984. Its totient is φ = 65175552.

The previous prime is 144174379. The next prime is 144174461. The reversal of 144174416 is 614471441.

144174416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 16032016 + 128142400 = 4004^2 + 11320^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1052300 + ... + 1052436.

Almost surely, 2144174416 is an apocalyptic number.

144174416 is a gapful number since it is divisible by the number (16) 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 144174416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153853992).

144174416 is an abundant number, since it is smaller than the sum of its proper divisors (163533568).

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

144174416 is a wasteful number, since it uses less digits than its factorization.

144174416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 282 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 144174416 is about 12007.2651340761. The cubic root of 144174416 is about 524.3598134740.

It can be divided in two parts, 1441 and 74416, that added together give a palindrome (75857).

The spelling of 144174416 in words is "one hundred forty-four million, one hundred seventy-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 34 53 68 73 106 136 137 146 212 272 274 292 424 548 584 848 901 1096 1168 1241 1802 2192 2329 2482 3604 3869 4658 4964 7208 7261 7738 9316 9928 10001 14416 14522 15476 18632 19856 20002 29044 30952 37264 40004 58088 61904 65773 80008 116176 123437 131546 160016 170017 246874 263092 340034 493748 526184 530053 680068 987496 1052368 1060106 1360136 1974992 2120212 2720272 4240424 8480848 9010901 18021802 36043604 72087208 144174416