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32423134014100 = 22521737796524951
BaseRepresentation
bin1110101111101000110010…
…11000101010101010010100
311020210121202221211122211001
413113310121120222222110
513222210034301422400
6152542552050353044
76554331325564444
oct727643130525224
9136717687748731
1032423134014100
11a370634977455
1237779a1b8b784
13151264709369b
14801406614124
153b3600632a6a
hex1d7d1962aa94

32423134014100 has 144 divisors (see below), whose sum is σ = 77478846036480. Its totient is φ = 11726118144000.

The previous prime is 32423134014067. The next prime is 32423134014143. The reversal of 32423134014100 is 141043132423.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1706625 + ... + 8231575.

It is an arithmetic number, because the mean of its divisors is an integer number (538047541920).

Almost surely, 232423134014100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32423134014100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38739423018240).

32423134014100 is an abundant number, since it is smaller than the sum of its proper divisors (45055712022380).

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

32423134014100 is a wasteful number, since it uses less digits than its factorization.

32423134014100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6525098 (or 6525091 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 32423134014100 its reverse (141043132423), we get a palindrome (32564177146523).

The spelling of 32423134014100 in words is "thirty-two trillion, four hundred twenty-three billion, one hundred thirty-four million, fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 37 50 68 74 79 85 100 148 158 170 185 316 340 370 395 425 629 740 790 850 925 1258 1343 1580 1700 1850 1975 2516 2686 2923 3145 3700 3950 5372 5846 6290 6715 7900 11692 12580 13430 14615 15725 26860 29230 31450 33575 49691 58460 62900 67150 73075 99382 134300 146150 198764 248455 292300 496910 993820 1242275 2484550 4969100 6524951 13049902 26099804 32624755 65249510 110924167 130499020 163123775 221848334 241423187 326247550 443696668 482846374 515471129 554620835 652495100 965692748 1030942258 1109241670 1207115935 2061884516 2218483340 2414231870 2577355645 2773104175 4104194179 4828463740 5154711290 5546208350 6035579675 8208388358 8763009193 10309422580 11092416700 12071159350 12886778225 16416776716 17526018386 19072431773 20520970895 24142318700 25773556450 35052036772 38144863546 41041941790 43815045965 51547112900 76289727092 82083883580 87630091930 95362158865 102604854475 175260183860 190724317730 205209708950 219075229825 324231340141 381448635460 410419417900 438150459650 476810794325 648462680282 876300919300 953621588650 1296925360564 1621156700705 1907243177300 3242313401410 6484626802820 8105783503525 16211567007050 32423134014100