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440241140434100 = 225243154718673513
BaseRepresentation
bin110010000011001011010000…
…0110010101000010010110100
32010201202122100000110101221012
41210012112200302220102310
5430200402323422342400
64200151553215411352
7161505241601613545
oct14406264062502264
92121678300411835
10440241140434100
11118302245791a25
1241461823223b58
1315b8573b553bc5
147a9dadba384cc
1535d6a37e77d35
hex19065a0ca84b4

440241140434100 has 72 divisors (see below), whose sum is σ = 959290383235968. Its totient is φ = 175366685894400.

The previous prime is 440241140434033. The next prime is 440241140434129. The reversal of 440241140434100 is 1434041142044.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14238944 + ... + 32912456.

It is an arithmetic number, because the mean of its divisors is an integer number (13323477544944).

Almost surely, 2440241140434100 is an apocalyptic number.

It is an amenable number.

440241140434100 is an abundant number, since it is smaller than the sum of its proper divisors (519049242801868).

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

440241140434100 is a wasteful number, since it uses less digits than its factorization.

440241140434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18674505 (or 18674498 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 440241140434100 its reverse (1434041142044), we get a palindrome (441675181576144).

The spelling of 440241140434100 in words is "four hundred forty trillion, two hundred forty-one billion, one hundred forty million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 431 547 862 1094 1724 2155 2188 2735 4310 5470 8620 10775 10940 13675 21550 27350 43100 54700 235757 471514 943028 1178785 2357570 4715140 5893925 11787850 18673513 23575700 37347026 74694052 93367565 186735130 373470260 466837825 933675650 1867351300 8048284103 10214411611 16096568206 20428823222 32193136412 40241420515 40857646444 51072058055 80482841030 102144116110 160965682060 201207102575 204288232220 255360290275 402414205150 510720580550 804828410300 1021441161100 4402411404341 8804822808682 17609645617364 22012057021705 44024114043410 88048228086820 110060285108525 220120570217050 440241140434100