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132013040141400 = 233521120001975779
BaseRepresentation
bin11110000001000010101110…
…010111010000010001011000
3122022102022201202011221211220
4132001002232113100101120
5114300400201234011100
61144433541534252040
736543425125451505
oct3601025627202130
9568368652157756
10132013040141400
1139077463650280
1212981018057020
135887a12604252
1424856728664ac
15103de672a6aa0
hex7810ae5d0458

132013040141400 has 96 divisors (see below), whose sum is σ = 446444099409600. Its totient is φ = 32003161244800.

The previous prime is 132013040141383. The next prime is 132013040141441. The reversal of 132013040141400 is 4141040310231.

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

It is a congruent number.

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, 10000981290 + ... + 10000994489.

It is an arithmetic number, because the mean of its divisors is an integer number (4650459368850).

Almost surely, 2132013040141400 is an apocalyptic number.

132013040141400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132013040141400 is an abundant number, since it is smaller than the sum of its proper divisors (314431059268200).

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

132013040141400 is a wasteful number, since it uses less digits than its factorization.

132013040141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20001975809 (or 20001975800 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 132013040141400 its reverse (4141040310231), we get a palindrome (136154080451631).

The spelling of 132013040141400 in words is "one hundred thirty-two trillion, thirteen billion, forty million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 20001975779 40003951558 60005927337 80007903116 100009878895 120011854674 160015806232 200019757790 220021733569 240023709348 300029636685 400039515580 440043467138 480047418696 500049394475 600059273370 660065200707 800079031160 880086934276 1000098788950 1100108667845 1200118546740 1320130401414 1500148183425 1760173868552 2000197577900 2200217335690 2400237093480 2640260802828 3000296366850 3300326003535 4000395155800 4400434671380 5280521605656 5500543339225 6000592733700 6600652007070 8800869342760 11001086678450 12001185467400 13201304014140 16501630017675 22002173356900 26402608028280 33003260035350 44004346713800 66006520070700 132013040141400