Search a number
-
+
10042432406644 = 22113491331349123
BaseRepresentation
bin1001001000100010111110…
…0111011100010001110100
31022120001021101021211221211
42102020233213130101310
52304013400144003034
633205232454451204
72054353560012541
oct222105747342164
938501241254854
1010042432406644
113221a76319190
12116235a363b04
1357acc7131c51
1426a0b0793bc8
15126360252d64
hex9222f9dc474

10042432406644 has 48 divisors (see below), whose sum is σ = 19228685918400. Its totient is φ = 4551227965440.

The previous prime is 10042432406621. The next prime is 10042432406653. The reversal of 10042432406644 is 44660423424001.

It is a junction number, because it is equal to n+sod(n) for n = 10042432406597 and 10042432406606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204409867 + ... + 204458989.

It is an arithmetic number, because the mean of its divisors is an integer number (400597623300).

Almost surely, 210042432406644 is an apocalyptic number.

It is an amenable number.

10042432406644 is a deficient number, since it is larger than the sum of its proper divisors (9186253511756).

10042432406644 is a wasteful number, since it uses less digits than its factorization.

10042432406644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62800 (or 62798 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

The spelling of 10042432406644 in words is "ten trillion, forty-two billion, four hundred thirty-two million, four hundred six thousand, six hundred forty-four".

Divisors: 1 2 4 11 22 44 349 698 1396 3839 7678 13313 15356 26626 49123 53252 98246 146443 196492 292886 540353 585772 1080706 2161412 4646237 9292474 17143927 18584948 34287854 51108607 68575708 102217214 188583197 204434428 377166394 653974499 754332788 1307948998 2615897996 7193719489 14387438978 28774877956 228237100151 456474200302 912948400604 2510608101661 5021216203322 10042432406644