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42062131440 = 2433572781887
BaseRepresentation
bin100111001011000110…
…010011000011110000
311000120101022200001000
4213023012103003300
51142120401201230
631153441242000
73016224134550
oct471306230360
9130511280030
1042062131440
1116924a819aa
12819a633300
133c74371a94
1420703db160
151162a6db60
hex9cb1930f0

42062131440 has 160 divisors (see below), whose sum is σ = 165577973760. Its totient is φ = 9614198016.

The previous prime is 42062131427. The next prime is 42062131451. The reversal of 42062131440 is 4413126024.

It is a happy number.

42062131440 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 213 + 1 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 1375824 + ... + 1406063.

It is an arithmetic number, because the mean of its divisors is an integer number (1034862336).

Almost surely, 242062131440 is an apocalyptic number.

42062131440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42062131440 is an abundant number, since it is smaller than the sum of its proper divisors (123515842320).

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

42062131440 is a wasteful number, since it uses less digits than its factorization.

42062131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781916 (or 2781904 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 42062131440 its reverse (4413126024), we get a palindrome (46475257464).

The spelling of 42062131440 in words is "forty-two billion, sixty-two million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 2781887 5563774 8345661 11127548 13909435 16691322 19473209 22255096 25036983 27818870 33382644 38946418 41728305 44510192 50073966 55637740 58419627 66765288 75110949 77892836 83456610 97366045 100147932 111275480 116839254 125184915 133530576 150221898 155785672 166913220 175258881 194732090 200295864 222550960 233678508 250369830 292098135 300443796 311571344 333826440 350517762 375554745 389464180 400591728 467357016 500739660 525776643 584196270 600887592 667652880 701035524 751109490 778928360 876294405 934714032 1001479320 1051553286 1168392540 1201775184 1402071048 1502218980 1557856720 1752588810 2002958640 2103106572 2336785080 2628883215 2804142096 3004437960 3505177620 4206213144 4673570160 5257766430 6008875920 7010355240 8412426288 10515532860 14020710480 21031065720 42062131440