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10434421414014 = 231317291811499161
BaseRepresentation
bin1001011111010111001111…
…1110110101100001111110
31100221112001202202121222220
42113311303332311201332
52331424143340222024
634105301303350210
72124601455421113
oct227656376654176
940845052677886
1010434421414014
113363238955214
121206316752366
135a8c66b7b860
14281058a2a90a
151316536cde79
hex97d73fb587e

10434421414014 has 128 divisors (see below), whose sum is σ = 24752723748480. Its totient is φ = 2901414297600.

The previous prime is 10434421414007. The next prime is 10434421414069. The reversal of 10434421414014 is 41041412443401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6210594 + ... + 7709754.

It is an arithmetic number, because the mean of its divisors is an integer number (193380654285).

Almost surely, 210434421414014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10434421414014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12376361874240).

10434421414014 is an abundant number, since it is smaller than the sum of its proper divisors (14318302334466).

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

10434421414014 is a wasteful number, since it uses less digits than its factorization.

10434421414014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499406.

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 10434421414014 its reverse (41041412443401), we get a palindrome (51475833857415).

The spelling of 10434421414014 in words is "ten trillion, four hundred thirty-four billion, four hundred twenty-one million, four hundred fourteen thousand, fourteen".

Divisors: 1 2 3 6 13 17 26 29 34 39 51 58 78 87 102 174 181 221 362 377 442 493 543 663 754 986 1086 1131 1326 1479 2262 2353 2958 3077 4706 5249 6154 6409 7059 9231 10498 12818 14118 15747 18462 19227 31494 38454 40001 68237 80002 89233 120003 136474 178466 204711 240006 267699 409422 535398 1160029 1499161 2320058 2998322 3480087 4497483 6960174 8994966 19489093 25485737 38978186 43475669 50971474 58467279 76457211 86951338 116934558 130427007 152914422 260854014 271348141 331314581 542696282 565183697 662629162 739086373 814044423 993943743 1130367394 1478172746 1628088846 1695551091 1987887486 2217259119 3391102182 3527525833 4434518238 4612918397 7055051666 7869096089 9225836794 9608122849 10582577499 13838755191 15738192178 19216245698 21165154998 23607288267 27677510382 28824368547 47214576534 57648737094 59967939161 102298249157 119935878322 133774633513 179903817483 204596498314 267549267026 306894747471 359807634966 401323900539 613789494942 802647801078 1739070235669 3478140471338 5217210707007 10434421414014