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40001054388 = 22319978812053
BaseRepresentation
bin100101010000001111…
…111010011010110100
310211020202001002211220
4211100033322122310
51123410232220023
630213133230340
72614156231551
oct452017723264
9124222032756
1040001054388
1115a67609239
1279043323b0
133a06361469
141d167a3a28
151091b443e3
hex9503fa6b4

40001054388 has 96 divisors (see below), whose sum is σ = 99422144640. Its totient is φ = 12481413120.

The previous prime is 40001054351. The next prime is 40001054389. The reversal of 40001054388 is 88345010004.

40001054388 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 (40001054389) 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, 19483170 + ... + 19485222.

It is an arithmetic number, because the mean of its divisors is an integer number (1035647340).

Almost surely, 240001054388 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 40001054388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49711072320).

40001054388 is an abundant number, since it is smaller than the sum of its proper divisors (59421090252).

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

40001054388 is a wasteful number, since it uses less digits than its factorization.

40001054388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3057 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 40001054388 in words is "forty billion, one million, fifty-four thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 97 114 194 228 291 388 582 881 1164 1762 1843 2053 2643 3524 3686 4106 5286 5529 6159 7372 8212 10572 11058 12318 16739 22116 24636 33478 39007 50217 66956 78014 85457 100434 117021 156028 170914 199141 200868 234042 256371 341828 398282 468084 512742 597423 796564 1025484 1194846 1623683 1808693 2389692 3247366 3617386 3783679 4871049 5426079 6494732 7234772 7567358 9742098 10852158 11351037 15134716 19484196 21704316 22702074 34365167 45404148 68730334 103095501 137460668 175443221 206191002 350886442 412382004 526329663 701772884 1052659326 2105318652 3333421199 6666842398 10000263597 13333684796 20000527194 40001054388