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1140320322440 = 235134757780863
BaseRepresentation
bin10000100110000000011…
…000110100001110001000
311001000100212212101000022
4100212000120310032020
5122140334000304230
62231504514000012
7145246125546005
oct20460030641610
94030325771008
101140320322440
113aa675104022
12165002b76008
13836bb322730
143d2984188ac
151e9e065d1e5
hex10980634388

1140320322440 has 128 divisors (see below), whose sum is σ = 2826798428160. Its totient is φ = 411363753984.

The previous prime is 1140320322439. The next prime is 1140320322467. The reversal of 1140320322440 is 442230230411.

It is a super-3 number, since 3×11403203224403 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14061449 + ... + 14142311.

It is an arithmetic number, because the mean of its divisors is an integer number (22084362720).

Almost surely, 21140320322440 is an apocalyptic number.

1140320322440 is a gapful number since it is divisible by the number (10) 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 1140320322440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413399214080).

1140320322440 is an abundant number, since it is smaller than the sum of its proper divisors (1686478105720).

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

1140320322440 is a wasteful number, since it uses less digits than its factorization.

1140320322440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81511 (or 81507 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 1140320322440 its reverse (442230230411), we get a palindrome (1582550552851).

The spelling of 1140320322440 in words is "one trillion, one hundred forty billion, three hundred twenty million, three hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 47 52 65 94 104 130 188 235 260 376 470 520 577 611 940 1154 1222 1880 2308 2444 2885 3055 4616 4888 5770 6110 7501 11540 12220 15002 23080 24440 27119 30004 37505 54238 60008 75010 80863 108476 135595 150020 161726 216952 271190 300040 323452 352547 404315 542380 646904 705094 808630 1051219 1084760 1410188 1617260 1762735 2102438 2820376 3234520 3525470 3800561 4204876 5256095 7050940 7601122 8409752 10512190 14101880 15202244 19002805 21024380 30404488 38005610 42048760 46657951 49407293 76011220 93315902 98814586 152022440 186631804 197629172 233289755 247036465 373263608 395258344 466579510 494072930 606553363 933159020 988145860 1213106726 1866318040 1976291720 2192923697 2426213452 3032766815 4385847394 4852426904 6065533630 8771694788 10964618485 12131067260 17543389576 21929236970 24262134520 28508008061 43858473940 57016016122 87716947880 114032032244 142540040305 228064064488 285080080610 570160161220 1140320322440