Search a number
-
+
42346561100 = 2252312440651
BaseRepresentation
bin100111011100000011…
…010011111001001100
311001022012112012011212
4213130003103321030
51143211204423400
631242001433552
73026246554544
oct473403237114
9131265465155
1042346561100
1116a60591138
12825993b8b8
133cbb27a75c
14209a0ba324
15117ca04335
hex9dc0d3e4c

42346561100 has 54 divisors (see below), whose sum is σ = 94952133612. Its totient is φ = 16392180000.

The previous prime is 42346561099. The next prime is 42346561133. The reversal of 42346561100 is 116564324.

42346561100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 124226 + ... + 316425.

Almost surely, 242346561100 is an apocalyptic number.

It is an amenable number.

42346561100 is an abundant number, since it is smaller than the sum of its proper divisors (52605572512).

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

42346561100 is a wasteful number, since it uses less digits than its factorization.

42346561100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440727 (or 440689 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 42346561100 in words is "forty-two billion, three hundred forty-six million, five hundred sixty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 961 1550 1922 3100 3844 4805 9610 19220 24025 48050 96100 440651 881302 1762604 2203255 4406510 8813020 11016275 13660181 22032550 27320362 44065100 54640724 68300905 136601810 273203620 341504525 423465611 683009050 846931222 1366018100 1693862444 2117328055 4234656110 8469312220 10586640275 21173280550 42346561100