Search a number
-
+
43204342040 = 23537414715149
BaseRepresentation
bin101000001111001011…
…011111000100011000
311010111222120222102022
4220033023133010120
51201440302421130
631503042554012
73056433563606
oct501713370430
9133458528368
1043204342040
11173607a7702
128459068908
1340c6bb1542
14213bda6876
1511cce917e5
hexa0f2df118

43204342040 has 128 divisors (see below), whose sum is σ = 104455008000. Its totient is φ = 16054456320.

The previous prime is 43204342007. The next prime is 43204342091. The reversal of 43204342040 is 4024340234.

It is a super-2 number, since 2×432043420402 (a number of 22 digits) contains 22 as substring.

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, 2844386 + ... + 2859534.

It is an arithmetic number, because the mean of its divisors is an integer number (816054750).

Almost surely, 243204342040 is an apocalyptic number.

43204342040 is a gapful number since it is divisible by the number (40) 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 43204342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52227504000).

43204342040 is an abundant number, since it is smaller than the sum of its proper divisors (61250665960).

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

43204342040 is a wasteful number, since it uses less digits than its factorization.

43204342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15285 (or 15281 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 43204342040 its reverse (4024340234), we get a palindrome (47228682274).

The spelling of 43204342040 in words is "forty-three billion, two hundred four million, three hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 41 47 74 82 94 148 164 185 188 205 235 296 328 370 376 410 470 740 820 940 1480 1517 1640 1739 1880 1927 3034 3478 3854 6068 6956 7585 7708 8695 9635 12136 13912 15149 15170 15416 17390 19270 30298 30340 34780 38540 60596 60680 69560 71299 75745 77080 121192 142598 151490 285196 302980 356495 560513 570392 605960 621109 712003 712990 1121026 1242218 1424006 1425980 2242052 2484436 2802565 2848012 2851960 3105545 3560015 4484104 4968872 5605130 5696024 6211090 7120030 11210260 12422180 14240060 22420520 22981033 24844360 26344111 28480120 29192123 45962066 52688222 58384246 91924132 105376444 114905165 116768492 131720555 145960615 183848264 210752888 229810330 233536984 263441110 291921230 459620660 526882220 583842460 919241320 1053764440 1080108551 1167684920 2160217102 4320434204 5400542755 8640868408 10801085510 21602171020 43204342040