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2042040031240 = 2351121128377753
BaseRepresentation
bin11101101101110011000…
…100100001100000001000
321020012212021120201020011
4131231303010201200020
5231424044221444430
64202033352441304
7300350440605556
oct35556304414010
97205767521204
102042040031240
1171802a3a8560
1228b9170a9234
1311a743168ac1
1470b99d76bd6
15381b8b3322a
hex1db73121808

2042040031240 has 128 divisors (see below), whose sum is σ = 5038459873920. Its totient is φ = 738684979200.

The previous prime is 2042040031189. The next prime is 2042040031243. The reversal of 2042040031240 is 421300402402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2042040031243) by changing a digit.

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, 263383204 + ... + 263390956.

It is an arithmetic number, because the mean of its divisors is an integer number (39362967765).

Almost surely, 22042040031240 is an apocalyptic number.

2042040031240 is a gapful number since it is divisible by the number (20) 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 2042040031240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519229936960).

2042040031240 is an abundant number, since it is smaller than the sum of its proper divisors (2996419842680).

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

2042040031240 is a wasteful number, since it uses less digits than its factorization.

2042040031240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10823 (or 10819 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 2042040031240 its reverse (421300402402), we get a palindrome (2463340433642).

The spelling of 2042040031240 in words is "two trillion, forty-two billion, forty million, thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 211 220 422 440 844 1055 1688 2110 2321 2837 4220 4642 5674 7753 8440 9284 11348 11605 14185 15506 18568 22696 23210 28370 31012 31207 38765 46420 56740 62024 62414 77530 85283 92840 113480 124828 155060 156035 170566 249656 310120 312070 341132 426415 598607 624140 682264 852830 1197214 1248280 1635883 1705660 2394428 2993035 3271766 3411320 4788856 5986070 6543532 6584677 8179415 11972140 13087064 13169354 16358830 17994713 21995261 23944280 26338708 32717660 32923385 35989426 43990522 52677416 65435320 65846770 71978852 87981044 89973565 109976305 131693540 143957704 175962088 179947130 219952610 241947871 263387080 359894260 439905220 483895742 719788520 879810440 967791484 1209739355 1935582968 2419478710 4641000071 4838957420 9282000142 9677914840 18564000284 23205000355 37128000568 46410000710 51051000781 92820001420 102102001562 185640002840 204204003124 255255003905 408408006248 510510007810 1021020015620 2042040031240