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40840343640 = 23335311219843
BaseRepresentation
bin100110000010010001…
…100011000001011000
310220102020022102021000
4212002101203001120
51132120111444030
630432314145000
72644030123155
oct460221430130
9126366272230
1040840343640
1116358344718
127ab9422160
133b0b1bc515
141d9603922c
1510e067c860
hex982463058

40840343640 has 128 divisors (see below), whose sum is σ = 140526028800. Its totient is φ = 10539434880.

The previous prime is 40840343623. The next prime is 40840343657. The reversal of 40840343640 is 4634304804.

40840343640 is a `hidden beast` number, since 4 + 0 + 8 + 4 + 0 + 3 + 4 + 3 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (40840343623) and next prime (40840343657).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40840343595 and 40840343604.

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, 576442 + ... + 643401.

It is an arithmetic number, because the mean of its divisors is an integer number (1097859600).

Almost surely, 240840343640 is an apocalyptic number.

40840343640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40840343640 is an abundant number, since it is smaller than the sum of its proper divisors (99685685160).

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

40840343640 is a wasteful number, since it uses less digits than its factorization.

40840343640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219894 (or 1219884 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 40840343640 in words is "forty billion, eight hundred forty million, three hundred forty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 5580 6696 8370 11160 16740 33480 1219843 2439686 3659529 4879372 6099215 7319058 9758744 10978587 12198430 14638116 18297645 21957174 24396860 29276232 32935761 36595290 37815133 43914348 48793720 54892935 65871522 73190580 75630266 87828696 109785870 113445399 131743044 146381160 151260532 164678805 189075665 219571740 226890798 263486088 302521064 329357610 340336197 378151330 439143480 453781596 567226995 658715220 680672394 756302660 907563192 1021008591 1134453990 1317430440 1361344788 1512605320 1701680985 2042017182 2268907980 2722689576 3403361970 4084034364 4537815960 5105042955 6806723940 8168068728 10210085910 13613447880 20420171820 40840343640