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251255203140 = 2235191831120371
BaseRepresentation
bin1110100111111111111…
…0100010010101000100
3220000112101222210010110
43221333332202111010
513104032313000030
6311231450553020
724103223663064
oct3517776422504
9800471883113
10251255203140
1197614014a17
1240840a38770
131a902140b46
14c2373d13a4
15680810b1b0
hex3a7ffa2544

251255203140 has 96 divisors (see below), whose sum is σ = 740952253440. Its totient is φ = 63439804800.

The previous prime is 251255203103. The next prime is 251255203211. The reversal of 251255203140 is 41302552152.

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 = 251255203098 and 251255203107.

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, 2027155 + ... + 2147525.

It is an arithmetic number, because the mean of its divisors is an integer number (7718252640).

Almost surely, 2251255203140 is an apocalyptic number.

251255203140 is a gapful number since it is divisible by the number (20) 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 251255203140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370476126720).

251255203140 is an abundant number, since it is smaller than the sum of its proper divisors (489697050300).

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

251255203140 is a wasteful number, since it uses less digits than its factorization.

251255203140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122233 (or 122231 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 251255203140 its reverse (41302552152), we get a palindrome (292557755292).

The spelling of 251255203140 in words is "two hundred fifty-one billion, two hundred fifty-five million, two hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1831 3662 5493 7324 9155 10986 18310 21972 27465 34789 36620 54930 69578 104367 109860 120371 139156 173945 208734 240742 347890 361113 417468 481484 521835 601855 695780 722226 1043670 1203710 1444452 1805565 2087340 2287049 2407420 3611130 4574098 6861147 7222260 9148196 11435245 13722294 22870490 27444588 34305735 45740980 68611470 137222940 220399301 440798602 661197903 881597204 1101996505 1322395806 2203993010 2644791612 3305989515 4187586719 4407986020 6611979030 8375173438 12562760157 13223958060 16750346876 20937933595 25125520314 41875867190 50251040628 62813800785 83751734380 125627601570 251255203140