Search a number
-
+
14012233341000 = 2335312293800443
BaseRepresentation
bin1100101111100111101000…
…1100001101100001001000
31211121120000122010001210020
43023321322030031201020
53314034023213403000
645445044154020440
72644231130133546
oct313717214154110
954546018101706
1014012233341000
114512611471864
1216a37b8717720
137a846a54766b
143662a506ad96
15194754db1ba0
hexcbe7a30d848

14012233341000 has 128 divisors (see below), whose sum is σ = 43753751683200. Its totient is φ = 3733554220800.

The previous prime is 14012233340983. The next prime is 14012233341053. The reversal of 14012233341000 is 14333221041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1786779 + ... + 5587221.

It is an arithmetic number, because the mean of its divisors is an integer number (341826185025).

Almost surely, 214012233341000 is an apocalyptic number.

14012233341000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14012233341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21876875841600).

14012233341000 is an abundant number, since it is smaller than the sum of its proper divisors (29741518342200).

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

14012233341000 is a wasteful number, since it uses less digits than its factorization.

14012233341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801696 (or 3801682 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14012233341000 its reverse (14333221041), we get a palindrome (14026566562041).

The spelling of 14012233341000 in words is "fourteen trillion, twelve billion, two hundred thirty-three million, three hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1229 1500 2458 3000 3687 4916 6145 7374 9832 12290 14748 18435 24580 29496 30725 36870 49160 61450 73740 92175 122900 147480 153625 184350 245800 307250 368700 460875 614500 737400 921750 1229000 1843500 3687000 3800443 7600886 11401329 15201772 19002215 22802658 30403544 38004430 45605316 57006645 76008860 91210632 95011075 114013290 152017720 190022150 228026580 285033225 380044300 456053160 475055375 570066450 760088600 950110750 1140132900 1425166125 1900221500 2280265800 2850332250 3800443000 4670744447 5700664500 9341488894 11401329000 14012233341 18682977788 23353722235 28024466682 37365955576 46707444470 56048933364 70061166705 93414888940 112097866728 116768611175 140122333410 186829777880 233537222350 280244666820 350305833525 467074444700 560489333640 583843055875 700611667050 934148889400 1167686111750 1401223334100 1751529167625 2335372223500 2802446668200 3503058335250 4670744447000 7006116670500 14012233341000