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402143231000 = 2353763119103
BaseRepresentation
bin1011101101000011001…
…10101011110000011000
31102110000001102210012202
411312201212223300120
523042042131343000
6504424141025332
741024325030620
oct5664146536030
91373001383182
10402143231000
11145603408595
1265b30b55248
132bbca684574
141566caa3880
15a6d9b4edd5
hex5da19abc18

402143231000 has 128 divisors (see below), whose sum is σ = 1075734466560. Its totient is φ = 137840688000.

The previous prime is 402143230997. The next prime is 402143231011. The reversal of 402143231000 is 132341204.

It is a super-2 number, since 2×4021432310002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44172449 + ... + 44181551.

It is an arithmetic number, because the mean of its divisors is an integer number (8404175520).

Almost surely, 2402143231000 is an apocalyptic number.

402143231000 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 402143231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537867233280).

402143231000 is an abundant number, since it is smaller than the sum of its proper divisors (673591235560).

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

402143231000 is a wasteful number, since it uses less digits than its factorization.

402143231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15442 (or 15428 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 402143231000 its reverse (132341204), we get a palindrome (402275572204).

The spelling of 402143231000 in words is "four hundred two billion, one hundred forty-three million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 6311 7000 9103 12622 18206 25244 31555 36412 44177 45515 50488 63110 63721 72824 88354 91030 126220 127442 157775 176708 182060 220885 227575 252440 254884 315550 318605 353416 364120 441770 455150 509768 631100 637210 788875 883540 910300 1104425 1137875 1262200 1274420 1577750 1593025 1767080 1820600 2208850 2275750 2548840 3155500 3186050 4417700 4551500 5522125 6311000 6372100 7965125 8835400 9103000 11044250 12744200 15930250 22088500 31860500 44177000 57449033 63721000 114898066 229796132 287245165 402143231 459592264 574490330 804286462 1148980660 1436225825 1608572924 2010716155 2297961320 2872451650 3217145848 4021432310 5744903300 7181129125 8042864620 10053580775 11489806600 14362258250 16085729240 20107161550 28724516500 40214323100 50267903875 57449033000 80428646200 100535807750 201071615500 402143231000