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40154544224 = 252937231607
BaseRepresentation
bin100101011001011001…
…011011100001100000
310211122102212012022122
4211121121123201200
51124214030403344
630240255123412
72621031665024
oct453131334140
9124572765278
1040154544224
1116036214443
127947813568
133a2c0b2952
141d2cd1a384
1510a0362aee
hex95965b860

40154544224 has 72 divisors (see below), whose sum is σ = 84052941840. Its totient is φ = 18860438016.

The previous prime is 40154544217. The next prime is 40154544229. The reversal of 40154544224 is 42244545104.

It is a happy number.

It is a super-2 number, since 2×401545442242 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40154544229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1254629 + ... + 1286235.

It is an arithmetic number, because the mean of its divisors is an integer number (1167401970).

Almost surely, 240154544224 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 40154544224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42026470920).

40154544224 is an abundant number, since it is smaller than the sum of its proper divisors (43898397616).

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

40154544224 is a wasteful number, since it uses less digits than its factorization.

40154544224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31720 (or 31675 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 35.

The spelling of 40154544224 in words is "forty billion, one hundred fifty-four million, five hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 37 58 74 116 148 232 296 464 592 928 1073 1184 1369 2146 2738 4292 5476 8584 10952 17168 21904 31607 34336 39701 43808 63214 79402 126428 158804 252856 317608 505712 635216 916603 1011424 1169459 1270432 1833206 2338918 3666412 4677836 7332824 9355672 14665648 18711344 29331296 33914311 37422688 43269983 67828622 86539966 135657244 173079932 271314488 346159864 542628976 692319728 1085257952 1254829507 1384639456 2509659014 5019318028 10038636056 20077272112 40154544224