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2401131423040 = 26571576827603
BaseRepresentation
bin100010111100001110100…
…101011110010101000000
322111112201222101110120221
4202330032211132111000
5303320004121014130
65035021535312424
7335322163225360
oct42741645362500
98445658343527
102401131423040
11846350100049
1232943207b714
1314556c405cac
14843030109a0
15426d3db787a
hex22f0e95e540

2401131423040 has 112 divisors (see below), whose sum is σ = 6576129689472. Its totient is φ = 818001340416.

The previous prime is 2401131422953. The next prime is 2401131423043. The reversal of 2401131423040 is 403241311042.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×24011314230402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2401131422996 and 2401131423014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401131423043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3062122 + ... + 3765481.

It is an arithmetic number, because the mean of its divisors is an integer number (58715443656).

Almost surely, 22401131423040 is an apocalyptic number.

2401131423040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401131423040 is an abundant number, since it is smaller than the sum of its proper divisors (4174998266432).

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

2401131423040 is a wasteful number, since it uses less digits than its factorization.

2401131423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6827784 (or 6827774 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 2401131423040 its reverse (403241311042), we get a palindrome (2804372734082).

The spelling of 2401131423040 in words is "two trillion, four hundred one billion, one hundred thirty-one million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 157 160 224 280 314 320 448 560 628 785 1099 1120 1256 1570 2198 2240 2512 3140 4396 5024 5495 6280 8792 10048 10990 12560 17584 21980 25120 35168 43960 50240 70336 87920 175840 351680 6827603 13655206 27310412 34138015 47793221 54620824 68276030 95586442 109241648 136552060 191172884 218483296 238966105 273104120 382345768 436966592 477932210 546208240 764691536 955864420 1071933671 1092416480 1529383072 1911728840 2143867342 2184832960 3058766144 3823457680 4287734684 5359668355 7503535697 7646915360 8575469368 10719336710 15007071394 15293830720 17150938736 21438673420 30014142788 34301877472 37517678485 42877346840 60028285576 68603754944 75035356970 85754693680 120056571152 150070713940 171509387360 240113142304 300141427880 343018774720 480226284608 600282855760 1200565711520 2401131423040