Search a number
-
+
1032332042000 = 24537371992919
BaseRepresentation
bin11110000010110111100…
…10001101111100010000
310122200121222212100002002
433001123302031330100
5113403204000321000
62110125150213132
7134404102401110
oct17013362157420
93580558770062
101032332042000
1136889a585666
121480a5ab41a8
137646b84433c
1437d724a1040
151bcbee908d5
hexf05bc8df10

1032332042000 has 160 divisors (see below), whose sum is σ = 2929879380480. Its totient is φ = 344376230400.

The previous prime is 1032332041969. The next prime is 1032332042017. The reversal of 1032332042000 is 2402332301.

1032332042000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 478460 + ... + 1514459.

It is an arithmetic number, because the mean of its divisors is an integer number (18311746128).

Almost surely, 21032332042000 is an apocalyptic number.

1032332042000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032332042000 is an abundant number, since it is smaller than the sum of its proper divisors (1897547338480).

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

1032332042000 is a wasteful number, since it uses less digits than its factorization.

1032332042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992986 (or 1992970 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 1032332042000 its reverse (2402332301), we get a palindrome (1034734374301).

The spelling of 1032332042000 in words is "one trillion, thirty-two billion, three hundred thirty-two million, forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 37 40 50 56 70 74 80 100 112 125 140 148 175 185 200 250 259 280 296 350 370 400 500 518 560 592 700 740 875 925 1000 1036 1295 1400 1480 1750 1850 2000 2072 2590 2800 2960 3500 3700 4144 4625 5180 6475 7000 7400 9250 10360 12950 14000 14800 18500 20720 25900 32375 37000 51800 64750 74000 103600 129500 259000 518000 1992919 3985838 7971676 9964595 13950433 15943352 19929190 27900866 31886704 39858380 49822975 55801732 69752165 73738003 79716760 99645950 111603464 139504330 147476006 159433520 199291900 223206928 249114875 279008660 294952012 348760825 368690015 398583800 498229750 516166021 558017320 589904024 697521650 737380030 797167600 996459500 1032332042 1116034640 1179808048 1395043300 1474760060 1743804125 1843450075 1992919000 2064664084 2580830105 2790086600 2949520120 3487608250 3686900150 3985838000 4129328168 5161660210 5580173200 5899040240 6975216500 7373800300 8258656336 9217250375 10323320420 12904150525 13950433000 14747600600 18434500750 20646640840 25808301050 27900866000 29495201200 36869001500 41293281680 51616602100 64520752625 73738003000 103233204200 129041505250 147476006000 206466408400 258083010500 516166021000 1032332042000