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2031424424304 = 2431115735968261
BaseRepresentation
bin11101100011111010010…
…101001100100101110000
321012012110110110000010220
4131203322111030211300
5231240324123034204
64153120135253040
7266523406463322
oct35437225144560
97165413400126
102031424424304
11713582145990
12289853b1a180
13119740a7a092
1470470167612
1537c96bc31d9
hex1d8fa54c970

2031424424304 has 160 divisors (see below), whose sum is σ = 5777520929280. Its totient is φ = 609949516800.

The previous prime is 2031424424287. The next prime is 2031424424317. The reversal of 2031424424304 is 4034244241302.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29725534 + ... + 29793794.

It is an arithmetic number, because the mean of its divisors is an integer number (36109505808).

Almost surely, 22031424424304 is an apocalyptic number.

2031424424304 is a gapful number since it is divisible by the number (24) 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 2031424424304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888760464640).

2031424424304 is an abundant number, since it is smaller than the sum of its proper divisors (3746096504976).

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

2031424424304 is a wasteful number, since it uses less digits than its factorization.

2031424424304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68799 (or 68793 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 2031424424304 its reverse (4034244241302), we get a palindrome (6065668665606).

The spelling of 2031424424304 in words is "two trillion, thirty-one billion, four hundred twenty-four million, four hundred twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 157 176 264 314 359 471 528 628 718 942 1077 1256 1436 1727 1884 2154 2512 2872 3454 3768 3949 4308 5181 5744 6908 7536 7898 8616 10362 11847 13816 15796 17232 20724 23694 27632 31592 41448 47388 56363 63184 68261 82896 94776 112726 136522 169089 189552 204783 225452 273044 338178 409566 450904 546088 619993 676356 750871 819132 901808 1092176 1239986 1352712 1501742 1638264 1859979 2252613 2479972 2705424 3003484 3276528 3719958 4505226 4959944 6006968 7439916 9010452 9919888 10716977 12013936 14879832 18020904 21433954 24505699 29759664 32150931 36041808 42867908 49011398 64301862 73517097 85735816 98022796 117886747 128603724 147034194 171471632 196045592 235773494 257207448 269562689 294068388 353660241 392091184 471546988 514414896 539125378 588136776 707320482 808688067 943093976 1078250756 1176273552 1414640964 1617376134 1886187952 2156501512 2829281928 3234752268 3847394743 4313003024 5658563856 6469504536 7694789486 11542184229 12939009072 15389578972 23084368458 30779157944 42321342173 46168736916 61558315888 84642684346 92337473832 126964026519 169285368692 184674947664 253928053038 338570737384 507856106076 677141474768 1015712212152 2031424424304