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132441042400 = 2552891860127
BaseRepresentation
bin111101101011000011…
…0011110110111100000
3110122212001012001021121
41323112012132313200
54132214401324100
6140501555102024
712366004200022
oct1732606366740
9418761161247
10132441042400
1151193574447
12218022a1914
13c648830614
1465a5770012
1536a22e551a
hex1ed619ede0

132441042400 has 72 divisors (see below), whose sum is σ = 326954698560. Its totient is φ = 52381148160.

The previous prime is 132441042397. The next prime is 132441042431. The reversal of 132441042400 is 4240144231.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 858864 + ... + 1001263.

It is an arithmetic number, because the mean of its divisors is an integer number (4541037480).

Almost surely, 2132441042400 is an apocalyptic number.

132441042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132441042400 is an abundant number, since it is smaller than the sum of its proper divisors (194513656160).

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

132441042400 is a wasteful number, since it uses less digits than its factorization.

132441042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860236 (or 1860223 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 132441042400 its reverse (4240144231), we get a palindrome (136681186631).

The spelling of 132441042400 in words is "one hundred thirty-two billion, four hundred forty-one million, forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 89 100 160 178 200 356 400 445 712 800 890 1424 1780 2225 2848 3560 4450 7120 8900 14240 17800 35600 71200 1860127 3720254 7440508 9300635 14881016 18601270 29762032 37202540 46503175 59524064 74405080 93006350 148810160 165551303 186012700 297620320 331102606 372025400 662205212 744050800 827756515 1324410424 1488101600 1655513030 2648820848 3311026060 4138782575 5297641696 6622052120 8277565150 13244104240 16555130300 26488208480 33110260600 66220521200 132441042400