Search a number
-
+
40641730236 = 2234317975077
BaseRepresentation
bin100101110110011011…
…111001011010111100
310212220101120210220000
4211312123321122330
51131213240331421
630400501154300
72636066002302
oct456633713274
9125811523800
1040641730236
1116266219508
127a629bb990
133aa8ccc3b3
141d778d8272
1510ccee9226
hex9766f96bc

40641730236 has 120 divisors (see below), whose sum is σ = 109832021376. Its totient is φ = 13091207040.

The previous prime is 40641730229. The next prime is 40641730237. The reversal of 40641730236 is 63203714604.

It is a happy number.

40641730236 is a `hidden beast` number, since 4 + 0 + 6 + 417 + 3 + 0 + 236 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40641730236.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40641730237) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8002530 + ... + 8007606.

Almost surely, 240641730236 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 40641730236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54916010688).

40641730236 is an abundant number, since it is smaller than the sum of its proper divisors (69190291140).

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

40641730236 is a wasteful number, since it uses less digits than its factorization.

40641730236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5921 (or 5910 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 40641730236 in words is "forty billion, six hundred forty-one million, seven hundred thirty thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 797 837 1116 1594 1674 2391 2511 3188 3348 4782 5022 5077 7173 9564 10044 10154 14346 15231 20308 21519 24707 28692 30462 43038 45693 49414 60924 64557 74121 86076 91386 98828 129114 137079 148242 157387 182772 222363 258228 274158 296484 314774 411237 444726 472161 548316 629548 667089 822474 889452 944322 1334178 1416483 1644948 1888644 2001267 2668356 2832966 4002534 4046369 4249449 5665932 8005068 8092738 8498898 12139107 12748347 16185476 16997796 24278214 25496694 36417321 48556428 50993388 72834642 109251963 125437439 145669284 218503926 250874878 327755889 376312317 437007852 501749756 655511778 752624634 1128936951 1311023556 1505249268 2257873902 3386810853 4515747804 6773621706 10160432559 13547243412 20320865118 40641730236