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40024204224 = 263832779067
BaseRepresentation
bin100101010001101000…
…001110001111000000
310211022100121020110020
4211101220032033000
51123432144013344
630215321333440
72614560060024
oct452150161700
9124270536406
1040024204224
1115a79690034
127910037280
133a0b0a84a4
141d198ac384
151093bb8719
hex951a0e3c0

40024204224 has 112 divisors (see below), whose sum is σ = 107572015488. Its totient is φ = 13131629568.

The previous prime is 40024204219. The next prime is 40024204243. The reversal of 40024204224 is 42240242004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 40024204194 and 40024204203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4409739 + ... + 4418805.

It is an arithmetic number, because the mean of its divisors is an integer number (960464424).

Almost surely, 240024204224 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 40024204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53786007744).

40024204224 is an abundant number, since it is smaller than the sum of its proper divisors (67547811264).

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

40024204224 is a wasteful number, since it uses less digits than its factorization.

40024204224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9442 (or 9432 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 40024204224 its reverse (42240242004), we get a palindrome (82264446228).

The spelling of 40024204224 in words is "forty billion, twenty-four million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 277 332 498 554 664 831 996 1108 1328 1662 1992 2216 2656 3324 3984 4432 5312 6648 7968 8864 9067 13296 15936 17728 18134 22991 26592 27201 36268 45982 53184 54402 68973 72536 91964 108804 137946 145072 183928 217608 275892 290144 367856 435216 551784 580288 735712 752561 870432 1103568 1471424 1505122 1740864 2207136 2257683 2511559 3010244 4414272 4515366 5023118 6020488 7534677 9030732 10046236 12040976 15069354 18061464 20092472 24081952 30138708 36122928 40184944 48163904 60277416 72245856 80369888 120554832 144491712 160739776 208459397 241109664 416918794 482219328 625378191 833837588 1250756382 1667675176 2501512764 3335350352 5003025528 6670700704 10006051056 13341401408 20012102112 40024204224