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412003143040 = 27547101135613
BaseRepresentation
bin1011111111011010100…
…11010000110110000000
31110101110012121012210011
411333231103100312000
523222240301034130
6513134401114304
741523551635066
oct5775523206600
91411405535704
10412003143040
11149803040425
1267a23028994
132cb0c333648
1415d2639c036
15aab558a52a
hex5fed4d0d80

412003143040 has 128 divisors (see below), whose sum is σ = 1015868200320. Its totient is φ = 159696691200.

The previous prime is 412003143029. The next prime is 412003143133. The reversal of 412003143040 is 40341300214.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2970274 + ... + 3105886.

It is an arithmetic number, because the mean of its divisors is an integer number (7936470315).

Almost surely, 2412003143040 is an apocalyptic number.

412003143040 is a gapful number since it is divisible by the number (40) 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 412003143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507934100160).

412003143040 is an abundant number, since it is smaller than the sum of its proper divisors (603865057280).

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

412003143040 is a wasteful number, since it uses less digits than its factorization.

412003143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135780 (or 135768 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 412003143040 its reverse (40341300214), we get a palindrome (452344443254).

The spelling of 412003143040 in words is "four hundred twelve billion, three million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 101 128 160 188 202 235 320 376 404 470 505 640 752 808 940 1010 1504 1616 1880 2020 3008 3232 3760 4040 4747 6016 6464 7520 8080 9494 12928 15040 16160 18988 23735 30080 32320 37976 47470 64640 75952 94940 135613 151904 189880 271226 303808 379760 542452 607616 678065 759520 1084904 1356130 1519040 2169808 2712260 3038080 4339616 5424520 6373811 8679232 10849040 12747622 13696913 17358464 21698080 25495244 27393826 31869055 43396160 50990488 54787652 63738110 68484565 86792320 101980976 109575304 127476220 136969130 203961952 219150608 254952440 273938260 407923904 438301216 509904880 547876520 643754911 815847808 876602432 1019809760 1095753040 1287509822 1753204864 2039619520 2191506080 2575019644 3218774555 4079239040 4383012160 5150039288 6437549110 8766024320 10300078576 12875098220 20600157152 25750196440 41200314304 51500392880 82400628608 103000785760 206001571520 412003143040