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412242041400 = 23352798152867
BaseRepresentation
bin1011111111110111000…
…10100101101000111000
31110102001212010111201120
411333323202211220320
523223232430311100
6513214213345240
741532512351550
oct5777342455070
91412055114646
10412242041400
11149915981292
1267a8b038220
132cb49989c17
1415d49dc8160
15aacb52a0a0
hex5ffb8a5a38

412242041400 has 96 divisors (see below), whose sum is σ = 1460514675840. Its totient is φ = 94226751360.

The previous prime is 412242041383. The next prime is 412242041411. The reversal of 412242041400 is 4140242214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49072234 + ... + 49080633.

It is an arithmetic number, because the mean of its divisors is an integer number (15213694540).

Almost surely, 2412242041400 is an apocalyptic number.

412242041400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412242041400 is an abundant number, since it is smaller than the sum of its proper divisors (1048272634440).

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

412242041400 is a wasteful number, since it uses less digits than its factorization.

412242041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98152893 (or 98152884 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 412242041400 its reverse (4140242214), we get a palindrome (416382283614).

The spelling of 412242041400 in words is "four hundred twelve billion, two hundred forty-two million, forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 98152867 196305734 294458601 392611468 490764335 588917202 687070069 785222936 981528670 1177834404 1374140138 1472293005 1963057340 2061210207 2355668808 2453821675 2748280276 2944586010 3435350345 3926114680 4122420414 4907643350 5496560552 5889172020 6870700690 7361465025 8244840828 9815286700 10306051035 11778344040 13741401380 14722930050 16489681656 17176751725 19630573400 20612102070 27482802760 29445860100 34353503450 41224204140 51530255175 58891720200 68707006900 82448408280 103060510350 137414013800 206121020700 412242041400