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144626670 = 232519831019
BaseRepresentation
bin10001001111011…
…01001111101110
3101002010210111100
420213231033232
5244011023140
622203503530
73404210046
oct1047551756
9332123440
10144626670
1174702181
1240527ba6
1323c6a216
14152ca726
15ca6c530
hex89ed3ee

144626670 has 96 divisors (see below), whose sum is σ = 400982400. Its totient is φ = 36061632.

The previous prime is 144626663. The next prime is 144626681. The reversal of 144626670 is 76626441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141421 + ... + 142439.

It is an arithmetic number, because the mean of its divisors is an integer number (4176900).

Almost surely, 2144626670 is an apocalyptic number.

144626670 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 144626670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491200).

144626670 is an abundant number, since it is smaller than the sum of its proper divisors (256355730).

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

144626670 is a wasteful number, since it uses less digits than its factorization.

144626670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 144626670 is about 12026.0829034229. The cubic root of 144626670 is about 524.9075211257.

The spelling of 144626670 in words is "one hundred forty-four million, six hundred twenty-six thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 83 90 95 114 166 171 190 249 285 342 415 498 570 747 830 855 1019 1245 1494 1577 1710 2038 2490 3057 3154 3735 4731 5095 6114 7470 7885 9171 9462 10190 14193 15285 15770 18342 19361 23655 28386 30570 38722 45855 47310 58083 70965 84577 91710 96805 116166 141930 169154 174249 193610 253731 290415 348498 422885 507462 580830 761193 845770 871245 1268655 1522386 1606963 1742490 2537310 3213926 3805965 4820889 7611930 8034815 9641778 14462667 16069630 24104445 28925334 48208890 72313335 144626670