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4042395445902 = 23111717532055247
BaseRepresentation
bin111010110100110001100…
…010110110101010001110
3112022110010111012111110020
4322310301202312222032
51012212311213232102
612333014551323010
7565024220232162
oct72646142665216
915273114174406
104042395445902
111319408931670
1255353a080466
13234272230ab8
14dd91db02ca2
1570242e18bbc
hex3ad318b6a8e

4042395445902 has 64 divisors (see below), whose sum is σ = 9343913739264. Its totient is φ = 1152253117440.

The previous prime is 4042395445901. The next prime is 4042395445909. The reversal of 4042395445902 is 2095445932404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042395445901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 939243 + ... + 2994489.

It is an arithmetic number, because the mean of its divisors is an integer number (145998652176).

Almost surely, 24042395445902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042395445902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671956869632).

4042395445902 is an abundant number, since it is smaller than the sum of its proper divisors (5301518293362).

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

4042395445902 is a wasteful number, since it uses less digits than its factorization.

4042395445902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057033.

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 4042395445902 in words is "four trillion, forty-two billion, three hundred ninety-five million, four hundred forty-five thousand, nine hundred two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 1753 3506 5259 10518 19283 29801 38566 57849 59602 89403 115698 178806 327811 655622 983433 1966866 2055247 4110494 6165741 12331482 22607717 34939199 45215434 67823151 69878398 104817597 135646302 209635194 384331189 768662378 1152993567 2305987134 3602847991 7205695982 10808543973 21617087946 39631327901 61248415847 79262655802 118893983703 122496831694 183745247541 237787967406 367490495082 673732574317 1347465148634 2021197722951 4042395445902