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42332025522040 = 2355383790130449
BaseRepresentation
bin10011010000000001100010…
…10110000000011101111000
312112212220100122100222021121
421220000301112000131320
521022031442013201130
6230011021500315024
711626250024653162
oct1150006126003570
9175786318328247
1042332025522040
1112540a028a4941
1248b8291842a74
131a80b7b864877
14a64c49535932
154d6246c36d7a
hex268031580778

42332025522040 has 128 divisors (see below), whose sum is σ = 98229035016000. Its totient is φ = 16410546380800.

The previous prime is 42332025522037. The next prime is 42332025522043. The reversal of 42332025522040 is 4022552023324.

It is an interprime number because it is at equal distance from previous prime (42332025522037) and next prime (42332025522043).

It is a junction number, because it is equal to n+sod(n) for n = 42332025521987 and 42332025522005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42332025522043) 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, 1390244736 + ... + 1390275184.

Almost surely, 242332025522040 is an apocalyptic number.

42332025522040 is a gapful number since it is divisible by the number (40) 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 42332025522040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49114517508000).

42332025522040 is an abundant number, since it is smaller than the sum of its proper divisors (55897009493960).

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

42332025522040 is a wasteful number, since it uses less digits than its factorization.

42332025522040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38497 (or 38493 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 34.

Adding to 42332025522040 its reverse (4022552023324), we get a palindrome (46354577545364).

The spelling of 42332025522040 in words is "forty-two trillion, three hundred thirty-two billion, twenty-five million, five hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 83 106 166 212 265 332 415 424 530 664 830 1060 1660 2120 3320 4399 7901 8798 15802 17596 21995 30449 31604 35192 39505 43990 60898 63208 79010 87980 121796 152245 158020 175960 243592 304490 316040 418753 608980 655783 837506 1217960 1311566 1613797 1675012 2093765 2527267 2623132 3227594 3278915 3350024 4187530 5054534 5246264 6455188 6557830 8068985 8375060 10109068 12636335 12910376 13115660 16137970 16750120 20218136 25272670 26231320 32275940 34756499 50545340 64551880 69512998 101090680 133945151 139025996 173782495 240577549 267890302 278051992 347564990 481155098 535780604 669725755 695129980 962310196 1071561208 1202887745 1339451510 1390259960 1924620392 2405775490 2678903020 4811550980 5357806040 9623101960 12750610097 19967936567 25501220194 39935873134 51002440388 63753050485 79871746268 99839682835 102004880776 127506100970 159743492536 199679365670 255012201940 399358731340 510024403880 798717462680 1058300638051 2116601276102 4233202552204 5291503190255 8466405104408 10583006380510 21166012761020 42332025522040