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40021231224 = 233131729260189
BaseRepresentation
bin100101010001011100…
…111000011001111000
310211022011000012021010
4211101130320121320
51123430413344344
630215133513520
72614522565262
oct452134703170
9124264005233
1040021231224
1115a77a3a407
12790b0428a0
133a0a5a7210
141d19336b32
1510937cc8b9
hex951738678

40021231224 has 128 divisors (see below), whose sum is σ = 118022184000. Its totient is φ = 11190165504.

The previous prime is 40021231171. The next prime is 40021231279. The reversal of 40021231224 is 42213212004.

It is a self number, because there is not a number n which added to its sum of digits gives 40021231224.

It is a congruent number.

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, 23722 + ... + 283910.

Almost surely, 240021231224 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 40021231224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59011092000).

40021231224 is an abundant number, since it is smaller than the sum of its proper divisors (78000952776).

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

40021231224 is a wasteful number, since it uses less digits than its factorization.

40021231224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260257 (or 260253 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 40021231224 its reverse (42213212004), we get a palindrome (82234443228).

The spelling of 40021231224 in words is "forty billion, twenty-one million, two hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 29 34 39 51 52 58 68 78 87 102 104 116 136 156 174 204 221 232 312 348 377 408 442 493 663 696 754 884 986 1131 1326 1479 1508 1768 1972 2262 2652 2958 3016 3944 4524 5304 5916 6409 9048 11832 12818 19227 25636 38454 51272 76908 153816 260189 520378 780567 1040756 1561134 2081512 3122268 3382457 4423213 6244536 6764914 7545481 8846426 10147371 13269639 13529828 15090962 17692852 20294742 22636443 26539278 27059656 30181924 35385704 40589484 45272886 53078556 57501769 60363848 81178968 90545772 98091253 106157112 115003538 128273177 172505307 181091544 196182506 230007076 256546354 294273759 345010614 384819531 392365012 460014152 513092708 588547518 690021228 769639062 784730024 1026185416 1177095036 1380042456 1539278124 1667551301 2354190072 3078556248 3335102602 5002653903 6670205204 10005307806 13340410408 20010615612 40021231224