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10042014004 = 22111511511441
BaseRepresentation
bin10010101101000110…
…01111100100110100
3221220211211011111121
421112203033210310
5131031223422004
64340243113324
7503564465521
oct112643174464
927824734447
1010042014004
114293500830
121b43072844
13c4060a929
146b397c148
153db90b854
hex2568cf934

10042014004 has 24 divisors (see below), whose sum is σ = 19298091456. Its totient is φ = 4534320000.

The previous prime is 10042014001. The next prime is 10042014049. The reversal of 10042014004 is 40041024001.

10042014004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100420140042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042014001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 749077 + ... + 762364.

It is an arithmetic number, because the mean of its divisors is an integer number (804087144).

Almost surely, 210042014004 is an apocalyptic number.

It is an amenable number.

10042014004 is a deficient number, since it is larger than the sum of its proper divisors (9256077452).

10042014004 is a wasteful number, since it uses less digits than its factorization.

10042014004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511607 (or 1511605 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10042014004 its reverse (40041024001), we get a palindrome (50083038005).

The spelling of 10042014004 in words is "ten billion, forty-two million, fourteen thousand, four".

Divisors: 1 2 4 11 22 44 151 302 604 1661 3322 6644 1511441 3022882 6045764 16625851 33251702 66503404 228227591 456455182 912910364 2510503501 5021007002 10042014004