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40290040164 = 2231110911324781
BaseRepresentation
bin100101100001011110…
…010011100101100100
310211222212211002210210
4211201132103211210
51130003222241124
630301535215420
72624265455643
oct454136234544
9124885732723
1040290040164
11160a574a560
127985077570
133a511a3b6a
141d42d0b35a
1510ac1c9a29
hex961793964

40290040164 has 96 divisors (see below), whose sum is σ = 104417470080. Its totient is φ = 11989555200.

The previous prime is 40290040099. The next prime is 40290040177. The reversal of 40290040164 is 46104009204.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1613454 + ... + 1638234.

It is an arithmetic number, because the mean of its divisors is an integer number (1087681980).

Almost surely, 240290040164 is an apocalyptic number.

40290040164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40290040164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52208735040).

40290040164 is an abundant number, since it is smaller than the sum of its proper divisors (64127429916).

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

40290040164 is a wasteful number, since it uses less digits than its factorization.

40290040164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25021 (or 25019 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 40290040164 its reverse (46104009204), we get a palindrome (86394049368).

The spelling of 40290040164 in words is "forty billion, two hundred ninety million, forty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 113 132 218 226 327 339 436 452 654 678 1199 1243 1308 1356 2398 2486 3597 3729 4796 4972 7194 7458 12317 14388 14916 24634 24781 36951 49268 49562 73902 74343 99124 135487 147804 148686 270974 272591 297372 406461 541948 545182 812922 817773 1090364 1625844 1635546 2701129 2800253 3271092 5402258 5600506 8103387 8400759 10804516 11201012 16206774 16801518 29712419 30802783 32413548 33603036 59424838 61605566 89137257 92408349 118849676 123211132 178274514 184816698 305227577 356549028 369633396 610455154 915682731 1220910308 1831365462 3357503347 3662730924 6715006694 10072510041 13430013388 20145020082 40290040164