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4143524253414 = 2371369120035483
BaseRepresentation
bin111100010010111101010…
…010101000111011100110
3112200010011022220012111120
4330102331102220323212
51020341414202102124
612451301520514410
7605234252014530
oct74227522507346
915603138805446
104143524253414
111358293468537
1256b061a7ba06
1324096a869480
14104794a40850
1572bb12c9d79
hex3c4bd4a8ee6

4143524253414 has 128 divisors (see below), whose sum is σ = 10221167996928. Its totient is φ = 1090472423040.

The previous prime is 4143524253383. The next prime is 4143524253529.

4143524253414 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 755701117 + ... + 755706599.

It is an arithmetic number, because the mean of its divisors is an integer number (79852874976).

Almost surely, 24143524253414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4143524253414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110583998464).

4143524253414 is an abundant number, since it is smaller than the sum of its proper divisors (6077643743514).

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

4143524253414 is a wasteful number, since it uses less digits than its factorization.

4143524253414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8202.

The product of its digits is 921600, while the sum is 42.

The spelling of 4143524253414 in words is "four trillion, one hundred forty-three billion, five hundred twenty-four million, two hundred fifty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 691 1382 2003 2073 4006 4146 4837 5483 6009 8983 9674 10966 12018 14021 14511 16449 17966 26039 26949 28042 29022 32898 38381 42063 52078 53898 62881 71279 76762 78117 84126 115143 125762 142558 156234 182273 188643 213837 230286 364546 377286 427674 498953 546819 997906 1093638 1384073 1496859 2768146 2993718 3788753 4152219 7577506 8304438 9688511 10982449 11366259 17992949 19377022 21964898 22732518 26521271 29065533 32947347 35985898 49253789 53042542 53978847 58131066 65894694 76877143 79563813 98507578 107957694 125950643 142771837 147761367 153754286 159127626 230631429 251901286 285543674 295522734 344776523 377851929 428315511 461262858 689553046 755703858 856631022 999402859 1034329569 1998805718 2068659138 2998208577 5996417154 7588872259 15177744518 22766616777 45533233554 53122105813 98655339367 106244211626 159366317439 197310678734 295966018101 318732634878 591932036202 690587375569 1381174751138 2071762126707 4143524253414