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40401146142 = 2347353910067
BaseRepresentation
bin100101101000000110…
…001001000100011110
310212021121212212120000
4211220012021010132
51130220143134032
630320544435130
72630115035040
oct455006110436
9125247785500
1040401146142
1116152437085
1279b6318aa6
133a6b205746
141d5398da90
1510b6d24e7c
hex96818911e

40401146142 has 80 divisors (see below), whose sum is σ = 103500650880. Its totient is φ = 11538776592.

The previous prime is 40401146113. The next prime is 40401146143. The reversal of 40401146142 is 24164110404.

40401146142 is a `hidden beast` number, since 4 + 0 + 40 + 1 + 1 + 4 + 614 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40401146143) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4008193 + ... + 4018259.

It is an arithmetic number, because the mean of its divisors is an integer number (1293758136).

Almost surely, 240401146142 is an apocalyptic number.

40401146142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

40401146142 is an abundant number, since it is smaller than the sum of its proper divisors (63099504738).

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

40401146142 is a wasteful number, since it uses less digits than its factorization.

40401146142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13627 (or 13618 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 40401146142 its reverse (24164110404), we get a palindrome (64565256546).

The spelling of 40401146142 in words is "forty billion, four hundred one million, one hundred forty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 3539 7078 10067 10617 20134 21234 24773 30201 31851 49546 60402 63702 70469 74319 90603 95553 140938 148638 181206 191106 211407 222957 271809 286659 422814 445914 543618 573318 634221 668871 815427 1268442 1337742 1630854 1902663 2006613 3805326 4013226 5707989 11415978 35627113 71254226 106881339 213762678 249389791 320644017 498779582 641288034 748169373 961932051 1496338746 1923864102 2244508119 2885796153 4489016238 5771592306 6733524357 13467048714 20200573071 40401146142