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42601040157 = 31397109310303
BaseRepresentation
bin100111101011001110…
…000100100100011101
311001221221101001211010
4213223032010210131
51144221331241112
631323132045433
73035456603154
oct475316044435
9131857331733
1042601040157
11170811a4005
12830b003879
13402bbcaa90
1420c1c0059b
15119502063c
hex9eb38491d

42601040157 has 32 divisors (see below), whose sum is σ = 61863897088. Its totient is φ = 25919502336.

The previous prime is 42601040149. The next prime is 42601040161. The reversal of 42601040157 is 75104010624.

42601040157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42601040157 - 23 = 42601040149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42601040137) 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, 4129668 + ... + 4139970.

It is an arithmetic number, because the mean of its divisors is an integer number (1933246784).

Almost surely, 242601040157 is an apocalyptic number.

It is an amenable number.

42601040157 is a deficient number, since it is larger than the sum of its proper divisors (19262856931).

42601040157 is a wasteful number, since it uses less digits than its factorization.

42601040157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11509.

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 42601040157 in words is "forty-two billion, six hundred one million, forty thousand, one hundred fifty-seven".

Divisors: 1 3 13 39 97 291 1093 1261 3279 3783 10303 14209 30909 42627 106021 133939 318063 401817 999391 1378273 2998173 4134819 11261179 12992083 33783537 38976249 146395327 439185981 1092334363 3277003089 14200346719 42601040157