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1042320541440 = 2835271437641
BaseRepresentation
bin11110010101011110010…
…01010100011100000000
310200122102002222200101210
433022233021110130000
5114034133024311230
62114500242330120
7135206450263533
oct17125711243400
93618362880353
101042320541440
11372055855082
1214a013059940
13773a1035c39
143863ccaca1a
151c1a6d2aeb0
hexf2af254700

1042320541440 has 72 divisors (see below), whose sum is σ = 3328911241488. Its totient is φ = 277952143360.

The previous prime is 1042320541393. The next prime is 1042320541441. The reversal of 1042320541440 is 441450232401.

It is a super-2 number, since 2×10423205414402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1042320541398 and 1042320541407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042320541441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135714981 + ... + 135722660.

It is an arithmetic number, because the mean of its divisors is an integer number (46234878354).

Almost surely, 21042320541440 is an apocalyptic number.

1042320541440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042320541440 is an abundant number, since it is smaller than the sum of its proper divisors (2286590700048).

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

1042320541440 is an equidigital number, since it uses as much as digits as its factorization.

1042320541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271437665 (or 271437651 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 1042320541440 its reverse (441450232401), we get a palindrome (1483770773841).

The spelling of 1042320541440 in words is "one trillion, forty-two billion, three hundred twenty million, five hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 271437641 542875282 814312923 1085750564 1357188205 1628625846 2171501128 2714376410 3257251692 4071564615 4343002256 5428752820 6514503384 8143129230 8686004512 10857505640 13029006768 16286258460 17372009024 21715011280 26058013536 32572516920 34744018048 43430022560 52116027072 65145033840 69488036096 86860045120 104232054144 130290067680 173720090240 208464108288 260580135360 347440180480 521160270720 1042320541440