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4001444312120 = 235401881283163
BaseRepresentation
bin111010001110101000101…
…010101011010000111000
3112011112102112102100200122
4322032220222223100320
51011024424220441440
612302123234352412
7562044343313453
oct72165052532070
915145375370618
104001444312120
111303003aa6752
1254760b72b708
132304470c06a8
14db9570a849a
156e147ba47b5
hex3a3a8aab438

4001444312120 has 64 divisors (see below), whose sum is σ = 9035978444640. Its totient is φ = 1594768384000.

The previous prime is 4001444312119. The next prime is 4001444312137. The reversal of 4001444312120 is 212134441004.

It is a self number, because there is not a number n which added to its sum of digits gives 4001444312120.

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, 13989659 + ... + 14272821.

Almost surely, 24001444312120 is an apocalyptic number.

4001444312120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001444312120 is an abundant number, since it is smaller than the sum of its proper divisors (5034534132520).

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

4001444312120 is a wasteful number, since it uses less digits than its factorization.

4001444312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284456 (or 284452 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 4001444312120 its reverse (212134441004), we get a palindrome (4213578753124).

The spelling of 4001444312120 in words is "four trillion, one billion, four hundred forty-four million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 401 802 881 1604 1762 2005 3208 3524 4010 4405 7048 8020 8810 16040 17620 35240 283163 353281 566326 706562 1132652 1413124 1415815 1766405 2265304 2826248 2831630 3532810 5663260 7065620 11326520 14131240 113548363 227096726 249466603 454193452 498933206 567741815 908386904 997866412 1135483630 1247333015 1995732824 2270967260 2494666030 4541934520 4989332060 9978664120 100036107803 200072215606 400144431212 500180539015 800288862424 1000361078030 2000722156060 4001444312120