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1032331142040 = 2335117111015057
BaseRepresentation
bin11110000010110111011…
…10110010001110011000
310122200121221011121120020
433001123232302032120
5113403203233021130
62110125115030440
7134404061632242
oct17013356621630
93580557147506
101032331142040
1136889a0204a0
121480a573b420
137646b5ba813
1437d72309092
151bcbed63e10
hexf05bbb2398

1032331142040 has 128 divisors (see below), whose sum is σ = 3426123640320. Its totient is φ = 246737254400.

The previous prime is 1032331142039. The next prime is 1032331142119. The reversal of 1032331142040 is 402411332301.

It is a happy number.

It is a super-2 number, since 2×10323311420402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1032331142040.

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, 5413809 + ... + 5601248.

It is an arithmetic number, because the mean of its divisors is an integer number (26766590940).

Almost surely, 21032331142040 is an apocalyptic number.

1032331142040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032331142040 is an abundant number, since it is smaller than the sum of its proper divisors (2393792498280).

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

1032331142040 is a wasteful number, since it uses less digits than its factorization.

1032331142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11015153 (or 11015149 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1032331142040 its reverse (402411332301), we get a palindrome (1434742474341).

The spelling of 1032331142040 in words is "one trillion, thirty-two billion, three hundred thirty-one million, one hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 71 88 110 120 132 142 165 213 220 264 284 330 355 426 440 568 660 710 781 852 1065 1320 1420 1562 1704 2130 2343 2840 3124 3905 4260 4686 6248 7810 8520 9372 11715 15620 18744 23430 31240 46860 93720 11015057 22030114 33045171 44060228 55075285 66090342 88120456 110150570 121165627 132180684 165225855 220301140 242331254 264361368 330451710 363496881 440602280 484662508 605828135 660903420 726993762 782069047 969325016 1211656270 1321806840 1453987524 1564138094 1817484405 2346207141 2423312540 2907975048 3128276188 3634968810 3910345235 4692414282 4846625080 6256552376 7269937620 7820690470 8602759517 9384828564 11731035705 14539875240 15641380940 17205519034 18769657128 23462071410 25808278551 31282761880 34411038068 43013797585 46924142820 51616557102 68822076136 86027595170 93848285640 103233114204 129041392755 172055190340 206466228408 258082785510 344110380680 516165571020 1032331142040