Search a number
-
+
144035122623160 = 235174717807115751
BaseRepresentation
bin100000101111111111001010…
…010100011011001010111000
3200212222121211100100100211011
4200233333022110123022320
5122334332412342420120
61230200453304443304
742224123416463356
oct4057771224331270
9625877740310734
10144035122623160
1141991a528074aa
12141a2b7b179534
13624a5b8c64992
14277d4a11367d6
15119ba3db99c5a
hex82ffca51b2b8

144035122623160 has 64 divisors (see below), whose sum is σ = 324285543429120. Its totient is φ = 57577339152000.

The previous prime is 144035122623157. The next prime is 144035122623163. The reversal of 144035122623160 is 61326221530441.

It is an interprime number because it is at equal distance from previous prime (144035122623157) and next prime (144035122623163).

It is a super-2 number, since 2×1440351226231602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144035122623163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1244295285 + ... + 1244411035.

It is an arithmetic number, because the mean of its divisors is an integer number (5066961616080).

Almost surely, 2144035122623160 is an apocalyptic number.

144035122623160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144035122623160 is an abundant number, since it is smaller than the sum of its proper divisors (180250420805960).

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

144035122623160 is a wasteful number, since it uses less digits than its factorization.

144035122623160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135316 (or 135312 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 144035122623160 in words is "one hundred forty-four trillion, thirty-five billion, one hundred twenty-two million, six hundred twenty-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 1747 3494 6988 8735 13976 17470 17807 34940 35614 69880 71228 89035 115751 142456 178070 231502 356140 463004 578755 712280 926008 1157510 2315020 4630040 31108829 62217658 124435316 155544145 202216997 248870632 311088290 404433994 622176580 808867988 1011084985 1244353160 1617735976 2022169970 2061178057 4044339940 4122356114 8088679880 8244712228 10305890285 16489424456 20611780570 41223561140 82447122280 3600878065579 7201756131158 14403512262316 18004390327895 28807024524632 36008780655790 72017561311580 144035122623160