Search a number
-
+
14033211100440 = 2335741114063781
BaseRepresentation
bin1100110000110101110010…
…0100000000110100011000
31211200120011121110122211120
43030031130210000310120
53314410004020203230
645502433532125240
72645603024141220
oct314153444006430
954616147418746
1014033211100440
1145204a6903a34
1216a7892006820
137aa43167327c
143672d5151080
151950818b9310
hexcc35c900d18

14033211100440 has 128 divisors (see below), whose sum is σ = 48125582161920. Its totient is φ = 3206810073600.

The previous prime is 14033211100411. The next prime is 14033211100471. The reversal of 14033211100440 is 4400111233041.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14033211100440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1421350 + ... + 5485130.

It is an arithmetic number, because the mean of its divisors is an integer number (375981110640).

Almost surely, 214033211100440 is an apocalyptic number.

14033211100440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14033211100440 is an abundant number, since it is smaller than the sum of its proper divisors (34092371061480).

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

14033211100440 is a wasteful number, since it uses less digits than its factorization.

14033211100440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067913 (or 4067909 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14033211100440 its reverse (4400111233041), we get a palindrome (18433322333481).

The spelling of 14033211100440 in words is "fourteen trillion, thirty-three billion, two hundred eleven million, one hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 4111 8222 12333 16444 20555 24666 28777 32888 41110 49332 57554 61665 82220 86331 98664 115108 123330 143885 164440 172662 230216 246660 287770 345324 431655 493320 575540 690648 863310 1151080 1726620 3453240 4063781 8127562 12191343 16255124 20318905 24382686 28446467 32510248 40637810 48765372 56892934 60956715 81275620 85339401 97530744 113785868 121913430 142232335 162551240 170678802 227571736 243826860 284464670 341357604 426697005 487653720 568929340 682715208 853394010 1137858680 1706788020 3413576040 16706203691 33412407382 50118611073 66824814764 83531018455 100237222146 116943425837 133649629528 167062036910 200474444292 233886851674 250593055365 334124073820 350830277511 400948888584 467773703348 501186110730 584717129185 668248147640 701660555022 935547406696 1002372221460 1169434258370 1403321110044 1754151387555 2004744442920 2338868516740 2806642220088 3508302775110 4677737033480 7016605550220 14033211100440