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32342114202420 = 223511237120400991
BaseRepresentation
bin1110101101010001111000…
…01110100111001100110100
311020111212122112202210012010
413112220330032213030310
513214343122213434140
6152441432342524220
76545432511546111
oct726507416471464
9136455575683163
1032342114202420
11a33a239345800
123764150736670
131507b048a5c09
147db51c251908
153b145c86c880
hex1d6a3c3a7334

32342114202420 has 144 divisors (see below), whose sum is σ = 102229111079424. Its totient is φ = 7628606726400.

The previous prime is 32342114202413. The next prime is 32342114202439. The reversal of 32342114202420 is 2420241124323.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59931876 + ... + 60469115.

It is an arithmetic number, because the mean of its divisors is an integer number (709924382496).

Almost surely, 232342114202420 is an apocalyptic number.

32342114202420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32342114202420 is an abundant number, since it is smaller than the sum of its proper divisors (69886996877004).

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

32342114202420 is a wasteful number, since it uses less digits than its factorization.

32342114202420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120401062 (or 120401049 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 32342114202420 its reverse (2420241124323), we get a palindrome (34762355326743).

The spelling of 32342114202420 in words is "thirty-two trillion, three hundred forty-two billion, one hundred fourteen million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 121 132 148 165 185 220 222 242 330 363 370 407 444 484 555 605 660 726 740 814 1110 1210 1221 1452 1628 1815 2035 2220 2420 2442 3630 4070 4477 4884 6105 7260 8140 8954 12210 13431 17908 22385 24420 26862 44770 53724 67155 89540 134310 268620 120400991 240801982 361202973 481603964 602004955 722405946 1204009910 1324410901 1444811892 1806014865 2408019820 2648821802 3612029730 3973232703 4454836667 5297643604 6622054505 7224059460 7946465406 8909673334 13244109010 13364510001 14568519911 15892930812 17819346668 19866163515 22274183335 26488218020 26729020002 29137039822 39732327030 43705559733 44548366670 49003203337 53458040004 58274079644 66822550005 72842599555 79464654060 87411119466 89096733340 98006406674 133645100010 145685199110 147009610011 174822238932 196012813348 218527798665 245016016685 267290200020 291370398220 294019220022 437055597330 490032033370 539035236707 588038440044 735048050055 874111194660 980064066740 1078070473414 1470096100110 1617105710121 2156140946828 2695176183535 2940192200220 3234211420242 5390352367070 6468422840484 8085528550605 10780704734140 16171057101210 32342114202420