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32420124201304 = 2372371901139343
BaseRepresentation
bin1110101111100011001011…
…11111001001000101011000
311020210100000012100022212001
413113301211333021011120
513222132403243420204
6152541333251530344
76554163620602150
oct727614577110530
9136710005308761
1032420124201304
11a36a32aa14564
1237772a1bb99b4
131512287654878
148011dc9b5760
153b34c62a14a4
hex1d7c65fc9158

32420124201304 has 128 divisors (see below), whose sum is σ = 73523247022080. Its totient is φ = 13101263683200.

The previous prime is 32420124201293. The next prime is 32420124201331. The reversal of 32420124201304 is 40310242102423.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 824018257 + ... + 824057599.

It is an arithmetic number, because the mean of its divisors is an integer number (574400367360).

Almost surely, 232420124201304 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 32420124201304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36761623511040).

32420124201304 is an abundant number, since it is smaller than the sum of its proper divisors (41103122820776).

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

32420124201304 is a wasteful number, since it uses less digits than its factorization.

32420124201304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48461 (or 48457 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 32420124201304 its reverse (40310242102423), we get a palindrome (72730366303727).

The spelling of 32420124201304 in words is "thirty-two trillion, four hundred twenty billion, one hundred twenty-four million, two hundred one thousand, three hundred four".

Divisors: 1 2 4 7 8 14 23 28 46 56 71 92 142 161 184 284 322 497 568 644 994 1288 1633 1988 3266 3976 6532 9011 11431 13064 18022 22862 36044 39343 45724 63077 72088 78686 91448 126154 157372 207253 252308 275401 314744 414506 504616 550802 639781 829012 904889 1101604 1279562 1450771 1658024 1809778 2203208 2559124 2793353 2901542 3619556 4478467 5118248 5586706 5803084 6334223 7239112 8956934 11173412 11606168 12668446 14714963 17913868 19553471 22346824 25336892 29429926 35827736 39106942 50673784 58859852 64247119 78213884 103004741 117719704 128494238 156427768 206009482 256988476 354519773 412018964 449729833 513976952 709039546 824037928 899459666 1418079092 1798919332 2481638411 2836158184 3597838664 4963276822 8153954779 9926553644 16307909558 19853107288 25170903883 32615819116 50341807766 57077683453 65231638232 100683615532 114155366906 176196327181 201367231064 228310733812 352392654362 456621467624 578930789309 704785308724 1157861578618 1409570617448 2315723157236 4052515525163 4631446314472 8105031050326 16210062100652 32420124201304