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2424314314040 = 2351371601276323
BaseRepresentation
bin100011010001110100011…
…001001011110100111000
322120202120122002100110112
4203101310121023310320
5304204443431022130
65053414205203452
7340102524444023
oct43216431136470
98522518070415
102424314314040
118551672571a3
12331a21b60588
131477c533bb88
14854a1d0a1ba
15430de2a2495
hex2347464bd38

2424314314040 has 64 divisors (see below), whose sum is σ = 5497974416160. Its totient is φ = 962042675200.

The previous prime is 2424314314039. The next prime is 2424314314057. The reversal of 2424314314040 is 404134134242.

It is a super-2 number, since 2×24243143140402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2424314313988 and 2424314314006.

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, 8635319 + ... + 8911641.

Almost surely, 22424314314040 is an apocalyptic number.

2424314314040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424314314040 is an abundant number, since it is smaller than the sum of its proper divisors (3073660102120).

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

2424314314040 is a wasteful number, since it uses less digits than its factorization.

2424314314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278072 (or 278068 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 2424314314040 its reverse (404134134242), we get a palindrome (2828448448282).

The spelling of 2424314314040 in words is "two trillion, four hundred twenty-four billion, three hundred fourteen million, three hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 137 274 548 685 1096 1370 1601 2740 3202 5480 6404 8005 12808 16010 32020 64040 219337 276323 438674 552646 877348 1096685 1105292 1381615 1754696 2193370 2210584 2763230 4386740 5526460 8773480 11052920 37856251 75712502 151425004 189281255 302850008 378562510 442393123 757125020 884786246 1514250040 1769572492 2211965615 3539144984 4423931230 8847862460 17695724920 60607857851 121215715702 242431431404 303039289255 484862862808 606078578510 1212157157020 2424314314040