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40314041040 = 24357131845881
BaseRepresentation
bin100101100010111001…
…110111001011010000
310212001112222110211010
4211202321313023100
51130030343303130
630304153450520
72625006460230
oct454271671320
9125045873733
1040314041040
1116108252799
127991110a40
133a56158370
141d46197cc0
1510ae36b0b0
hex962e772d0

40314041040 has 160 divisors (see below), whose sum is σ = 153813655296. Its totient is φ = 8505815040.

The previous prime is 40314041003. The next prime is 40314041041. The reversal of 40314041040 is 4014041304.

40314041040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 40314040998 and 40314041016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40314041041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 901101 + ... + 944780.

Almost surely, 240314041040 is an apocalyptic number.

40314041040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40314041040 is an abundant number, since it is smaller than the sum of its proper divisors (113499614256).

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

40314041040 is a wasteful number, since it uses less digits than its factorization.

40314041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845917 (or 1845911 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 40314041040 its reverse (4014041304), we get a palindrome (44328082344).

The spelling of 40314041040 in words is "forty billion, three hundred fourteen million, forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1365 1456 1560 1680 1820 2184 2730 3120 3640 4368 5460 7280 10920 21840 1845881 3691762 5537643 7383524 9229405 11075286 12921167 14767048 18458810 22150572 23996453 25842334 27688215 29534096 36917620 38763501 44301144 47992906 51684668 55376430 64605835 71989359 73835240 77527002 88602288 95985812 103369336 110752860 119982265 129211670 143978718 147670480 155054004 167975171 191971624 193817505 206738672 221505720 239964530 258423340 287957436 310108008 335950342 359946795 383943248 387635010 443011440 479929060 503925513 516846680 575914872 620216016 671900684 719893590 775270020 839875855 959858120 1007851026 1033693360 1151829744 1343801368 1439787180 1550540040 1679751710 1919716240 2015702052 2519627565 2687602736 2879574360 3101080080 3359503420 4031404104 5039255130 5759148720 6719006840 8062808208 10078510260 13438013680 20157020520 40314041040