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144625206040 = 235711325118211
BaseRepresentation
bin1000011010110001010…
…1011000001100011000
3111211022011211200122121
42012230111120030120
54332143023043130
6150235004031024
713306642653010
oct2065425301430
9454264750577
10144625206040
1156376181977
1224042832474
131083ab961c3
146ddda0ac40
153b66ce2d7a
hex21ac558318

144625206040 has 128 divisors (see below), whose sum is σ = 376699921920. Its totient is φ = 48948480000.

The previous prime is 144625206023. The next prime is 144625206041. The reversal of 144625206040 is 40602526441.

It is a super-2 number, since 2×1446252060402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144625205987 and 144625206005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144625206041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7932535 + ... + 7950745.

It is an arithmetic number, because the mean of its divisors is an integer number (2942968140).

Almost surely, 2144625206040 is an apocalyptic number.

144625206040 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 144625206040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188349960960).

144625206040 is an abundant number, since it is smaller than the sum of its proper divisors (232074715880).

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

144625206040 is a wasteful number, since it uses less digits than its factorization.

144625206040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18593 (or 18589 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 144625206040 in words is "one hundred forty-four billion, six hundred twenty-five million, two hundred six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 140 226 251 280 452 502 565 791 904 1004 1130 1255 1582 1757 2008 2260 2510 3164 3514 3955 4520 5020 6328 7028 7910 8785 10040 14056 15820 17570 18211 28363 31640 35140 36422 56726 70280 72844 91055 113452 127477 141815 145688 182110 198541 226904 254954 283630 364220 397082 509908 567260 637385 728440 794164 992705 1019816 1134520 1274770 1588328 1985410 2057843 2549540 3970820 4115686 4570961 5099080 7941640 8231372 9141922 10289215 14404901 16462744 18283844 20578430 22854805 28809802 31996727 36567688 41156860 45709610 57619604 63993454 72024505 82313720 91419220 115239208 127986908 144049010 159983635 182838440 255973816 288098020 319967270 516518593 576196040 639934540 1033037186 1279869080 2066074372 2582592965 3615630151 4132148744 5165185930 7231260302 10330371860 14462520604 18078150755 20660743720 28925041208 36156301510 72312603020 144625206040