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144490440 = 233519127499
BaseRepresentation
bin10001001110010…
…11111111001000
3101001212212121210
420213023333020
5243442143230
622200533120
73403101633
oct1047137710
9331785553
10144490440
1174619896
12404811a0
1323c20203
1415292c1a
15ca41eb0
hex89cbfc8

144490440 has 128 divisors (see below), whose sum is σ = 460800000. Its totient is φ = 36142848.

The previous prime is 144490427. The next prime is 144490483. The reversal of 144490440 is 44094441.

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 = 144490398 and 144490407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289311 + ... + 289809.

It is an arithmetic number, because the mean of its divisors is an integer number (3600000).

Almost surely, 2144490440 is an apocalyptic number.

144490440 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 144490440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230400000).

144490440 is an abundant number, since it is smaller than the sum of its proper divisors (316309560).

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

144490440 is a wasteful number, since it uses less digits than its factorization.

144490440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 144490440 is about 12020.4176300160. The cubic root of 144490440 is about 524.7426584589.

The spelling of 144490440 in words is "one hundred forty-four million, four hundred ninety thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 127 152 190 228 254 285 380 381 456 499 508 570 635 760 762 998 1016 1140 1270 1497 1524 1905 1996 2280 2413 2495 2540 2994 3048 3810 3992 4826 4990 5080 5988 7239 7485 7620 9481 9652 9980 11976 12065 14478 14970 15240 18962 19304 19960 24130 28443 28956 29940 36195 37924 47405 48260 56886 57912 59880 63373 72390 75848 94810 96520 113772 126746 142215 144780 189620 190119 227544 253492 284430 289560 316865 379240 380238 506984 568860 633730 760476 950595 1137720 1204087 1267460 1520952 1901190 2408174 2534920 3612261 3802380 4816348 6020435 7224522 7604760 9632696 12040870 14449044 18061305 24081740 28898088 36122610 48163480 72245220 144490440