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264044141000 = 23534135917939
BaseRepresentation
bin1111010111101001000…
…0011101100111001000
3221020112200122010202122
43311322100131213020
513311230300003000
6321144502150412
725035155111153
oct3657220354710
9836480563678
10264044141000
11a1a87041252
124320ba22408
131bb8c8843b3
14cacbad8c9a
156d05c6b085
hex3d7a41d9c8

264044141000 has 128 divisors (see below), whose sum is σ = 634731552000. Its totient is φ = 102748864000.

The previous prime is 264044140979. The next prime is 264044141027. The reversal of 264044141000 is 141440462.

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, 14710031 + ... + 14727969.

It is an arithmetic number, because the mean of its divisors is an integer number (4958840250).

Almost surely, 2264044141000 is an apocalyptic number.

264044141000 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 264044141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317365776000).

264044141000 is an abundant number, since it is smaller than the sum of its proper divisors (370687411000).

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

264044141000 is a wasteful number, since it uses less digits than its factorization.

264044141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18360 (or 18346 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 264044141000 its reverse (141440462), we get a palindrome (264185581462).

The spelling of 264044141000 in words is "two hundred sixty-four billion, forty-four million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 359 410 500 718 820 1000 1025 1436 1640 1795 2050 2872 3590 4100 5125 7180 8200 8975 10250 14360 14719 17939 17950 20500 29438 35878 35900 41000 44875 58876 71756 71800 73595 89695 89750 117752 143512 147190 179390 179500 294380 358780 359000 367975 448475 588760 717560 735499 735950 896950 1470998 1471900 1793900 1839875 2242375 2941996 2943800 3587800 3677495 3679750 4484750 5883992 6440101 7354990 7359500 8969500 12880202 14709980 14719000 17939000 18387475 25760404 29419960 32200505 36774950 51520808 64401010 73549900 91937375 128802020 147099800 161002525 183874750 257604040 264044141 322005050 367749500 528088282 644010100 735499000 805012625 1056176564 1288020200 1320220705 1610025250 2112353128 2640441410 3220050500 5280882820 6440101000 6601103525 10561765640 13202207050 26404414100 33005517625 52808828200 66011035250 132022070500 264044141000