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144200440340 = 225111959584707
BaseRepresentation
bin1000011001001100000…
…1000001101000010100
3111210012120120100122122
42012103001001220110
54330310303042330
6150124511515112
713263264343025
oct2062301015024
9453176510578
10144200440340
1156178431140
1223b44528a98
13107a0b93258
146d9d43ac4c
153b3e88b5e5
hex2193041a14

144200440340 has 96 divisors (see below), whose sum is σ = 353631398400. Its totient is φ = 48834645120.

The previous prime is 144200440313. The next prime is 144200440367. The reversal of 144200440340 is 43044002441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144200440313) and next prime (144200440367).

It is a congruent number.

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, 45734 + ... + 538973.

It is an arithmetic number, because the mean of its divisors is an integer number (3683660400).

Almost surely, 2144200440340 is an apocalyptic number.

144200440340 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 144200440340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176815699200).

144200440340 is an abundant number, since it is smaller than the sum of its proper divisors (209430958060).

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

144200440340 is a wasteful number, since it uses less digits than its factorization.

144200440340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584805 (or 584803 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 144200440340 its reverse (43044002441), we get a palindrome (187244442781).

The spelling of 144200440340 in words is "one hundred forty-four billion, two hundred million, four hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 59 76 95 110 118 190 209 220 236 295 380 418 590 649 836 1045 1121 1180 1298 2090 2242 2596 3245 4180 4484 5605 6490 11210 12331 12980 22420 24662 49324 61655 123310 246620 584707 1169414 2338828 2923535 5847070 6431777 11109433 11694140 12863554 22218866 25727108 32158885 34497713 44437732 55547165 64317770 68995426 111094330 122203763 128635540 137990852 172488565 222188660 244407526 344977130 379474843 488815052 611018815 655456547 689954260 758949686 1222037630 1310913094 1517899372 1897374215 2444075260 2621826188 3277282735 3794748430 6554565470 7210022017 7589496860 13109130940 14420044034 28840088068 36050110085 72100220170 144200440340