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144062940 = 223572192579
BaseRepresentation
bin10001001011000…
…11100111011100
3101001002011012110
420211203213130
5243340003230
622143434020
73366341400
oct1045434734
9331064173
10144062940
117435768a
12402b5910
1323b00758
14151c1100
15c9aa4b0
hex89639dc

144062940 has 144 divisors (see below), whose sum is σ = 494121600. Its totient is φ = 31183488.

The previous prime is 144062939. The next prime is 144062951. The reversal of 144062940 is 49260441.

144062940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 144062898 and 144062907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54571 + ... + 57149.

It is an arithmetic number, because the mean of its divisors is an integer number (3431400).

Almost surely, 2144062940 is an apocalyptic number.

144062940 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 144062940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247060800).

144062940 is an abundant number, since it is smaller than the sum of its proper divisors (350058660).

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

144062940 is a wasteful number, since it uses less digits than its factorization.

144062940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 144062940 is about 12002.6222134998. The cubic root of 144062940 is about 524.2246332107.

The spelling of 144062940 in words is "one hundred forty-four million, sixty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 49 57 60 70 76 84 95 98 105 114 133 140 147 190 196 210 228 245 266 285 294 380 399 420 490 532 570 588 665 735 798 931 980 1140 1330 1470 1596 1862 1995 2579 2660 2793 2940 3724 3990 4655 5158 5586 7737 7980 9310 10316 11172 12895 13965 15474 18053 18620 25790 27930 30948 36106 38685 49001 51580 54159 55860 72212 77370 90265 98002 108318 126371 147003 154740 180530 196004 216636 245005 252742 270795 294006 343007 361060 379113 490010 505484 541590 588012 631855 686014 735015 758226 980020 1029021 1083180 1263710 1372028 1470030 1516452 1715035 1895565 2058042 2401049 2527420 2940060 3430070 3791130 4116084 4802098 5145105 6860140 7203147 7582260 9604196 10290210 12005245 14406294 20580420 24010490 28812588 36015735 48020980 72031470 144062940