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14303431032100 = 2252771443649651
BaseRepresentation
bin1101000000100100011011…
…1011001111110100100100
31212122101122200221110201121
43100021012323033310210
53333321411321011400
650230523331103324
73004250232515110
oct320110673176444
955571580843647
1014303431032100
114615061a23101
121730126141b44
137c9a66852362
1437640b138740
1519c0e98e421a
hexd0246ecfd24

14303431032100 has 144 divisors (see below), whose sum is σ = 36053378436096. Its totient is φ = 4824041040000.

The previous prime is 14303431032013. The next prime is 14303431032103. The reversal of 14303431032100 is 123013430341.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (14303431032103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21692275 + ... + 22341925.

It is an arithmetic number, because the mean of its divisors is an integer number (250370683584).

Almost surely, 214303431032100 is an apocalyptic number.

14303431032100 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 14303431032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18026689218048).

14303431032100 is an abundant number, since it is smaller than the sum of its proper divisors (21749947403996).

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

14303431032100 is a wasteful number, since it uses less digits than its factorization.

14303431032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650186 (or 650179 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 14303431032100 its reverse (123013430341), we get a palindrome (14426444462441).

The spelling of 14303431032100 in words is "fourteen trillion, three hundred three billion, four hundred thirty-one million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 71 100 140 142 175 284 350 355 443 497 700 710 886 994 1420 1772 1775 1988 2215 2485 3101 3550 4430 4970 6202 7100 8860 9940 11075 12404 12425 15505 22150 24850 31010 31453 44300 49700 62020 62906 77525 125812 155050 157265 220171 310100 314530 440342 629060 649651 786325 880684 1100855 1299302 1572650 2201710 2598604 3145300 3248255 4403420 4547557 5504275 6496510 9095114 11008550 12993020 16241275 18190228 22017100 22737785 32482550 45475570 46125221 64965100 90951140 92250442 113688925 184500884 227377850 230626105 287795393 322876547 454755700 461252210 575590786 645753094 922504420 1151181572 1153130525 1291506188 1438976965 1614382735 2014567751 2306261050 2877953930 3228765470 4029135502 4612522100 5755907860 6457530940 7194884825 8058271004 8071913675 10072838755 14389769650 16143827350 20145677510 20433472903 28779539300 32287654700 40291355020 40866945806 50364193775 81733891612 100728387550 102167364515 143034310321 201456775100 204334729030 286068620642 408669458060 510836822575 572137241284 715171551605 1021673645150 1430343103210 2043347290300 2860686206420 3575857758025 7151715516050 14303431032100