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2412305250440 = 23583781792951
BaseRepresentation
bin100011000110101000100…
…110001111100010001000
322112121120200220201012012
4203012220212033202020
5304010400121003230
65044110413235052
7336166113210551
oct43065046174210
98477520821165
102412305250440
11850064474a48
1232b630192a88
13146630352a97
1484a8300d328
1542b39d41395
hex231a898f888

2412305250440 has 64 divisors (see below), whose sum is σ = 5493842444160. Its totient is φ = 953164326400.

The previous prime is 2412305250409. The next prime is 2412305250457. The reversal of 2412305250440 is 440525032142.

It is a super-2 number, since 2×24123052504402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2412305250397 and 2412305250406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25905965 + ... + 25998915.

It is an arithmetic number, because the mean of its divisors is an integer number (85841288190).

Almost surely, 22412305250440 is an apocalyptic number.

2412305250440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2412305250440 is an abundant number, since it is smaller than the sum of its proper divisors (3081537193720).

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

2412305250440 is a wasteful number, since it uses less digits than its factorization.

2412305250440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100862 (or 100858 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 2412305250440 in words is "two trillion, four hundred twelve billion, three hundred five million, two hundred fifty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 664 830 1660 3320 7817 15634 31268 39085 62536 78170 92951 156340 185902 312680 371804 464755 648811 743608 929510 1297622 1859020 2595244 3244055 3718040 5190488 6488110 7714933 12976220 15429866 25952440 30859732 38574665 61719464 77149330 154298660 308597320 726597967 1453195934 2906391868 3632989835 5812783736 7265979670 14531959340 29063918680 60307631261 120615262522 241230525044 301538156305 482461050088 603076312610 1206152625220 2412305250440