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144709890 = 235131959331
BaseRepresentation
bin10001010000000…
…01100100000010
3101002022000122120
420220001210002
5244021204030
622205345110
73405004503
oct1050014402
9332260576
10144709890
1174759756
1240568196
1323c99070
141530cbaa
15ca87010
hex8a01902

144709890 has 128 divisors (see below), whose sum is σ = 401587200. Its totient is φ = 33073920.

The previous prime is 144709861. The next prime is 144709927. The reversal of 144709890 is 98907441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 437025 + ... + 437355.

It is an arithmetic number, because the mean of its divisors is an integer number (3137400).

Almost surely, 2144709890 is an apocalyptic number.

144709890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144709890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200793600).

144709890 is an abundant number, since it is smaller than the sum of its proper divisors (256877310).

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

144709890 is a wasteful number, since it uses less digits than its factorization.

144709890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432.

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 144709890 is about 12029.5423853113. The cubic root of 144709890 is about 525.0081812784.

The spelling of 144709890 in words is "one hundred forty-four million, seven hundred nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 59 65 78 95 114 118 130 177 190 195 247 285 295 331 354 390 494 570 590 662 741 767 885 993 1121 1235 1482 1534 1655 1770 1986 2242 2301 2470 3310 3363 3705 3835 4303 4602 4965 5605 6289 6726 7410 7670 8606 9930 11210 11505 12578 12909 14573 16815 18867 19529 21515 23010 25818 29146 31445 33630 37734 39058 43030 43719 58587 62890 64545 72865 81757 87438 94335 97645 117174 129090 145730 163514 188670 195290 218595 245271 253877 292935 371051 408785 437190 490542 507754 585870 742102 761631 817570 1113153 1226355 1269385 1523262 1855255 2226306 2452710 2538770 3710510 3808155 4823663 5565765 7616310 9647326 11131530 14470989 24118315 28941978 48236630 72354945 144709890