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40321442040 = 233511191607713
BaseRepresentation
bin100101100011010110…
…000110000011111000
310212002001220111002020
4211203112012003320
51130034242121130
630305020234440
72625126413415
oct454326060370
9125061814066
1040321442040
1116111448220
12799369ba20
133a57849c59
141d4716310c
1510aed2de10
hex9635860f8

40321442040 has 128 divisors (see below), whose sum is σ = 138906489600. Its totient is φ = 9260421120.

The previous prime is 40321442023. The next prime is 40321442089. The reversal of 40321442040 is 4024412304.

It is a happy number.

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 40321442040.

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, 778777 + ... + 828936.

It is an arithmetic number, because the mean of its divisors is an integer number (1085206950).

Almost surely, 240321442040 is an apocalyptic number.

40321442040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40321442040 is an abundant number, since it is smaller than the sum of its proper divisors (98585047560).

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

40321442040 is a wasteful number, since it uses less digits than its factorization.

40321442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607757 (or 1607753 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40321442040 its reverse (4024412304), we get a palindrome (44345854344).

The spelling of 40321442040 in words is "forty billion, three hundred twenty-one million, four hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 132 152 165 190 209 220 228 264 285 330 380 418 440 456 570 627 660 760 836 1045 1140 1254 1320 1672 2090 2280 2508 3135 4180 5016 6270 8360 12540 25080 1607713 3215426 4823139 6430852 8038565 9646278 12861704 16077130 17684843 19292556 24115695 30546547 32154260 35369686 38585112 48231390 53054529 61093094 64308520 70739372 88424215 91639641 96462780 106109058 122186188 141478744 152732735 176848430 183279282 192925560 212218116 244372376 265272645 305465470 336012017 353696860 366558564 424436232 458198205 530545290 610930940 672024034 707393720 733117128 916396410 1008036051 1061090580 1221861880 1344048068 1680060085 1832792820 2016072102 2122181160 2688096136 3360120170 3665585640 4032144204 5040180255 6720240340 8064288408 10080360510 13440480680 20160721020 40321442040