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1442323440432 = 243271638778383
BaseRepresentation
bin10100111111010001001…
…011010010001100110000
312002212220000000100001200
4110333101023102030300
5142112334300043212
63022332204531200
7206130055650450
oct24772113221460
95085800010050
101442323440432
1150675aa87536
121b3647250b00
13a601a14a954
144db475c7d60
15277b8ae86dc
hex14fd12d2330

1442323440432 has 120 divisors (see below), whose sum is σ = 4641447642624. Its totient is φ = 409564190592.

The previous prime is 1442323440419. The next prime is 1442323440521. The reversal of 1442323440432 is 2340443232441.

1442323440432 is a `hidden beast` number, since 1 + 44 + 232 + 344 + 0 + 43 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4224888 + ... + 4553495.

Almost surely, 21442323440432 is an apocalyptic number.

1442323440432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1442323440432 is an abundant number, since it is smaller than the sum of its proper divisors (3199124202192).

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

1442323440432 is a wasteful number, since it uses less digits than its factorization.

1442323440432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8778567 (or 8778558 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 1442323440432 its reverse (2340443232441), we get a palindrome (3782766672873).

The spelling of 1442323440432 in words is "one trillion, four hundred forty-two billion, three hundred twenty-three million, four hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 163 168 252 326 336 489 504 652 978 1008 1141 1304 1467 1956 2282 2608 2934 3423 3912 4564 5868 6846 7824 9128 10269 11736 13692 18256 20538 23472 27384 41076 54768 82152 164304 8778383 17556766 26335149 35113532 52670298 61448681 70227064 79005447 105340596 122897362 140454128 158010894 184346043 210681192 245794724 316021788 368692086 421362384 491589448 553038129 632043576 737384172 983178896 1106076258 1264087152 1430876429 1474768344 2212152516 2861752858 2949536688 4292629287 4424305032 5723505716 8585258574 8848610064 10016135003 11447011432 12877887861 17170517148 20032270006 22894022864 25755775722 30048405009 34341034296 40064540012 51511551444 60096810018 68682068592 80129080024 90145215027 103023102888 120193620036 160258160048 180290430054 206046205776 240387240072 360580860108 480774480144 721161720216 1442323440432