Search a number
-
+
4143246423414 = 23713919910973251
BaseRepresentation
bin111100010010101100101…
…110110011010101110110
3112200002102222002222101120
4330102230232303111312
51020340332041022124
612451214154004410
7605224336342530
oct74225456632566
915602388088346
104143246423414
11135816065676a
1256aba4a16706
13240925131717
14104769b9c850
1572b96be9d79
hex3c4acbb3576

4143246423414 has 128 divisors (see below), whose sum is σ = 9598030848000. Its totient is φ = 1167937056000.

The previous prime is 4143246423397. The next prime is 4143246423439.

4143246423414 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1274451289 + ... + 1274454539.

It is an arithmetic number, because the mean of its divisors is an integer number (74984616000).

Almost surely, 24143246423414 is an apocalyptic number.

4143246423414 is an abundant number, since it is smaller than the sum of its proper divisors (5454784424586).

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

4143246423414 is a wasteful number, since it uses less digits than its factorization.

4143246423414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4698.

The product of its digits is 884736, while the sum is 42.

The spelling of 4143246423414 in words is "four trillion, one hundred forty-three billion, two hundred forty-six million, four hundred twenty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 139 199 278 398 417 597 834 973 1097 1194 1393 1946 2194 2786 2919 3251 3291 4179 5838 6502 6582 7679 8358 9753 15358 19506 22757 23037 27661 45514 46074 55322 68271 82983 136542 152483 165966 193627 218303 304966 387254 436606 451889 457449 580881 646949 654909 903778 914898 1067381 1161762 1293898 1309818 1355667 1528121 1940847 2134762 2711334 3056242 3163223 3202143 3566347 3881694 4528643 4584363 6326446 6404286 7132694 9057286 9168726 9489669 10699041 13585929 18979338 21398082 24964429 27171858 30344117 49928858 60688234 74893287 89925911 91032351 149786574 179851822 182064702 212408819 269777733 424817638 495722233 539555466 629481377 637226457 709703053 991444466 1258962754 1274452914 1419406106 1487166699 1888444131 2129109159 2974333398 3470055631 3776888262 4258218318 4967921371 6940111262 9935842742 10410166893 14903764113 20820333786 29807528226 98648724367 197297448734 295946173101 591892346202 690541070569 1381082141138 2071623211707 4143246423414