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4000424222440 = 235129509772229
BaseRepresentation
bin111010001101101011110…
…111010101111011101000
3112011102210102221102201101
4322031223313111323220
51011020332100104230
612301434114331144
7562010145561202
oct72155367257350
915142712842641
104000424222440
111302630201228
12547385b89ab4
1323031396b329
14db89b80b772
156e0d8355aca
hex3a36bdd5ee8

4000424222440 has 32 divisors (see below), whose sum is σ = 9001035657000. Its totient is φ = 1600155261184.

The previous prime is 4000424222383. The next prime is 4000424222507. The reversal of 4000424222440 is 442224240004.

It can be written as a sum of positive squares in 4 ways, for example, as 3932598354084 + 67825868356 = 1983078^2 + 260434^2 .

It is a super-3 number, since 3×40004242224403 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4000424222399 and 4000424222408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4794246 + ... + 5566474.

Almost surely, 24000424222440 is an apocalyptic number.

4000424222440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000424222440 is an abundant number, since it is smaller than the sum of its proper divisors (5000611434560).

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

4000424222440 is a wasteful number, since it uses less digits than its factorization.

4000424222440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901749 (or 901745 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 4000424222440 its reverse (442224240004), we get a palindrome (4442648462444).

The spelling of 4000424222440 in words is "four trillion, four hundred twenty-four million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 129509 259018 518036 647545 772229 1036072 1295090 1544458 2590180 3088916 3861145 5180360 6177832 7722290 15444580 30889160 100010605561 200021211122 400042422244 500053027805 800084844488 1000106055610 2000212111220 4000424222440