Search a number
-
+
132441101214000 = 2435337596581537
BaseRepresentation
bin11110000111010001011000…
…110010101010000100110000
3122100221020122001121111211220
4132013101120302222010300
5114324403333402322000
61145402334004505040
736616360644522015
oct3607213062520460
9570836561544756
10132441101214000
1139221a569a2867
1212a2bb809ab180
1358b91b06c4557
14249c27d75570c
15104a16c47c1a0
hex787458caa130

132441101214000 has 160 divisors (see below), whose sum is σ = 438530384300736. Its totient is φ = 34363096473600.

The previous prime is 132441101213989. The next prime is 132441101214077. The reversal of 132441101214000 is 412101144231.

It is a happy number.

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

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, 298068769 + ... + 298512768.

Almost surely, 2132441101214000 is an apocalyptic number.

132441101214000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132441101214000 is an abundant number, since it is smaller than the sum of its proper divisors (306089283086736).

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

132441101214000 is a wasteful number, since it uses less digits than its factorization.

132441101214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596581600 (or 596581584 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 132441101214000 its reverse (412101144231), we get a palindrome (132853202358231).

The spelling of 132441101214000 in words is "one hundred thirty-two trillion, four hundred forty-one billion, one hundred one million, two hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 125 148 150 185 200 222 240 250 296 300 370 375 400 444 500 555 592 600 740 750 888 925 1000 1110 1200 1480 1500 1776 1850 2000 2220 2775 2960 3000 3700 4440 4625 5550 6000 7400 8880 9250 11100 13875 14800 18500 22200 27750 37000 44400 55500 74000 111000 222000 596581537 1193163074 1789744611 2386326148 2982907685 3579489222 4772652296 5965815370 7158978444 8948723055 9545304592 11931630740 14317956888 14914538425 17897446110 22073516869 23863261480 28635913776 29829076850 35794892220 44147033738 44743615275 47726522960 59658153700 66220550607 71589784440 74572692125 88294067476 89487230550 110367584345 119316307400 132441101214 143179568880 149145384250 176588134952 178974461100 220735168690 223718076375 238632614800 264882202428 298290768500 331102753035 353176269904 357948922200 441470337380 447436152750 529764404856 551837921725 596581537000 662205506070 715897844400 882940674760 894872305500 1059528809712 1103675843450 1193163074000 1324411012140 1655513765175 1765881349520 1789744611000 2207351686900 2648822024280 2759189608625 3311027530350 3579489222000 4414703373800 5297644048560 5518379217250 6622055060700 8277568825875 8829406747600 11036758434500 13244110121400 16555137651750 22073516869000 26488220242800 33110275303500 44147033738000 66220550607000 132441101214000