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4240321112440 = 235722477873407
BaseRepresentation
bin111101101101000110110…
…101010110100101111000
3120000101000021021010101101
4331231012311112211320
51023433134201044230
613003550541301144
7615232052521600
oct75550665264570
916011007233341
104240321112440
1113953457a5396
12585976b647b4
13249b2587a80a
141093384d9c00
15754791e5aca
hex3db46d56978

4240321112440 has 96 divisors (see below), whose sum is σ = 11102884773120. Its totient is φ = 1453235788032.

The previous prime is 4240321112411. The next prime is 4240321112491. The reversal of 4240321112440 is 442111230424.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4240321112399 and 4240321112408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4418217 + ... + 5291623.

It is an arithmetic number, because the mean of its divisors is an integer number (115655049720).

Almost surely, 24240321112440 is an apocalyptic number.

4240321112440 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 4240321112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5551442386560).

4240321112440 is an abundant number, since it is smaller than the sum of its proper divisors (6862563660680).

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

4240321112440 is a wasteful number, since it uses less digits than its factorization.

4240321112440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875909 (or 875898 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 4240321112440 its reverse (442111230424), we get a palindrome (4682432342864).

The spelling of 4240321112440 in words is "four trillion, two hundred forty billion, three hundred twenty-one million, one hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 2477 4954 9908 12385 17339 19816 24770 34678 49540 69356 86695 99080 121373 138712 173390 242746 346780 485492 606865 693560 873407 970984 1213730 1746814 2427460 3493628 4367035 4854920 6113849 6987256 8734070 12227698 17468140 24455396 30569245 34936280 42796943 48910792 61138490 85593886 122276980 171187772 213984715 244553960 342375544 427969430 855938860 1711877720 2163429139 4326858278 8653716556 10817145695 15144003973 17307433112 21634291390 30288007946 43268582780 60576015892 75720019865 86537165560 106008027811 121152031784 151440039730 212016055622 302880079460 424032111244 530040139055 605760158920 848064222488 1060080278110 2120160556220 4240321112440