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1244093938353 = 327438910934721
BaseRepresentation
bin10010000110101001110…
…001101111101010110001
311101221020001020021010100
4102012221301233222301
5130340401022011403
62351310122423013
7155611543665120
oct22065161575261
94357201207110
101244093938353
1143a68765a662
12181144661a69
139041888c3a6
14443006ddab7
1522565d012a3
hex121a9c6fab1

1244093938353 has 96 divisors (see below), whose sum is σ = 2127511077120. Its totient is φ = 685802557440.

The previous prime is 1244093938319. The next prime is 1244093938357. The reversal of 1244093938353 is 3538393904421.

1244093938353 is a `hidden beast` number, since 1 + 24 + 409 + 3 + 93 + 83 + 53 = 666.

It is not a de Polignac number, because 1244093938353 - 212 = 1244093934257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1244093938353.

It is not an unprimeable number, because it can be changed into a prime (1244093938357) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263521033 + ... + 263525753.

It is an arithmetic number, because the mean of its divisors is an integer number (22161573720).

Almost surely, 21244093938353 is an apocalyptic number.

It is an amenable number.

1244093938353 is a deficient number, since it is larger than the sum of its proper divisors (883417138767).

1244093938353 is a wasteful number, since it uses less digits than its factorization.

1244093938353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5959 (or 5956 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 1244093938353 in words is "one trillion, two hundred forty-four billion, ninety-three million, nine hundred thirty-eight thousand, three hundred fifty-three".

Divisors: 1 3 7 9 21 43 63 89 129 267 301 387 623 801 903 1093 1869 2709 3279 3827 4721 5607 7651 9837 11481 14163 22953 26789 33047 34443 42489 46999 68859 80367 97277 99141 140997 203003 241101 291831 297423 328993 420169 422991 609009 680939 875493 986979 1260507 1421021 1827027 2042817 2941183 2960937 3781521 4182911 4263063 5160053 6128451 8823549 12548733 12789189 15480159 18067267 26470647 29280377 36120371 37646199 46440477 54201801 87841131 108361113 126470869 162605403 221882279 263523393 325083339 379412607 459244717 665646837 1138237821 1377734151 1553175953 1996940511 3214713019 4133202453 4659527859 9644139057 13978583577 19747522831 28932417171 59242568493 138232659817 177727705479 414697979451 1244093938353