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40292266364 = 22723374141243
BaseRepresentation
bin100101100001100110…
…110011000101111100
310212000001000012120122
4211201212303011330
51130004310010424
630302055034112
72624323420220
oct454146630574
9125001005518
1040292266364
11160a6a30099
12798596b938
133a517a323c
141d4332a780
1510ac4b945e
hex9619b317c

40292266364 has 96 divisors (see below), whose sum is σ = 88469369856. Its totient is φ = 15678558720.

The previous prime is 40292266349. The next prime is 40292266369. The reversal of 40292266364 is 46366229204.

40292266364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40292266369) 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, 956327 + ... + 997569.

It is an arithmetic number, because the mean of its divisors is an integer number (921555936).

Almost surely, 240292266364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40292266364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44234684928).

40292266364 is an abundant number, since it is smaller than the sum of its proper divisors (48177103492).

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

40292266364 is a wasteful number, since it uses less digits than its factorization.

40292266364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41355 (or 41353 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 44.

The spelling of 40292266364 in words is "forty billion, two hundred ninety-two million, two hundred sixty-six thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 23 28 37 41 46 74 82 92 148 161 164 259 287 322 518 574 644 851 943 1036 1148 1517 1702 1886 3034 3404 3772 5957 6068 6601 10619 11914 13202 21238 23828 26404 34891 41243 42476 69782 82486 139564 164972 244237 288701 488474 577402 948589 976948 1154804 1525991 1690963 1897178 3051982 3381926 3794356 6103964 6640123 6763852 10681937 11836741 13280246 21363874 23673482 26560492 35097793 38892149 42727748 47346964 62565631 70195586 77784298 125131262 140391172 155568596 245684551 250262524 272245043 437959417 491369102 544490086 875918834 982738204 1088980172 1439009513 1751837668 2878019026 5756038052 10073066591 20146133182 40292266364