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10342221434244 = 2232725999371819
BaseRepresentation
bin1001011001111111110001…
…1011110100110110000100
31100121201002012020100222100
42112133330123310312010
52323421332141343434
633555052334032100
72115125613501300
oct226377433646604
940551065210870
1010342221434244
113328125418827
1211b0485048630
135a03623341cb
1427a7cd898d00
1512e05913b699
hex967fc6f4d84

10342221434244 has 108 divisors (see below), whose sum is σ = 30926497820400. Its totient is φ = 2904836983776.

The previous prime is 10342221434231. The next prime is 10342221434249. The reversal of 10342221434244 is 44243412224301.

10342221434244 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 2 + 221 + 4 + 3 + 424 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10342221434199 and 10342221434208.

It is not an unprimeable number, because it can be changed into a prime (10342221434249) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49581834 + ... + 49789985.

It is an arithmetic number, because the mean of its divisors is an integer number (286356461300).

Almost surely, 210342221434244 is an apocalyptic number.

10342221434244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10342221434244 is an abundant number, since it is smaller than the sum of its proper divisors (20584276386156).

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

10342221434244 is a wasteful number, since it uses less digits than its factorization.

10342221434244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99371902 (or 99371890 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 10342221434244 its reverse (44243412224301), we get a palindrome (54585633658545).

The spelling of 10342221434244 in words is "ten trillion, three hundred forty-two billion, two hundred twenty-one million, four hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 59 63 84 98 118 126 147 177 196 236 252 294 354 413 441 531 588 708 826 882 1062 1239 1652 1764 2124 2478 2891 3717 4956 5782 7434 8673 11564 14868 17346 26019 34692 52038 104076 99371819 198743638 298115457 397487276 596230914 695602733 894346371 1192461828 1391205466 1788692742 2086808199 2782410932 3577385484 4173616398 4869219131 5862937321 6260424597 8347232796 9738438262 11725874642 12520849194 14607657393 17588811963 19476876524 23451749284 25041698388 29215314786 35177623926 41040561247 43822972179 52766435889 58430629572 70355247852 82081122494 87645944358 105532871778 123121683741 164162244988 175291888716 211065743556 246243367482 287283928729 369365051223 492486734964 574567857458 738730102446 861851786187 1149135714916 1477460204892 1723703572374 2585555358561 3447407144748 5171110717122 10342221434244