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40012211340 = 223251931873671
BaseRepresentation
bin100101010000111010…
…011110010010001100
310211021112000221022100
4211100322132102030
51123421111230330
630214212315100
72614353120243
oct452072362214
9124245027270
1040012211340
1115a72939662
127908012a90
133a087697ca
141d1806995a
151092aea060
hex950e9e48c

40012211340 has 144 divisors (see below), whose sum is σ = 127833189120. Its totient is φ = 10102423680.

The previous prime is 40012211339. The next prime is 40012211341. The reversal of 40012211340 is 4311221004.

40012211340 is a `hidden beast` number, since 400 + 1 + 221 + 1 + 3 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (40012211339) and next prime (40012211341).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40012211341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10897705 + ... + 10901375.

It is an arithmetic number, because the mean of its divisors is an integer number (887730480).

Almost surely, 240012211340 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 40012211340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63916594560).

40012211340 is an abundant number, since it is smaller than the sum of its proper divisors (87820977780).

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

40012211340 is a wasteful number, since it uses less digits than its factorization.

40012211340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6892 (or 6887 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 40012211340 its reverse (4311221004), we get a palindrome (44323432344).

The spelling of 40012211340 in words is "forty billion, twelve million, two hundred eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3187 3420 3671 6374 7342 9561 11013 12748 14684 15935 18355 19122 22026 28683 31870 33039 36710 38244 44052 47805 55065 57366 60553 63740 66078 69749 73420 95610 110130 114732 121106 132156 139498 143415 165195 181659 191220 209247 220260 242212 278996 286830 302765 330390 348745 363318 418494 544977 573660 605530 627741 660780 697490 726636 836988 908295 1046235 1089954 1211060 1255482 1394980 1816590 2092470 2179908 2510964 2724885 3138705 3633180 4184940 5449770 6277410 10899540 11699477 12554820 23398954 35098431 46797908 58497385 70196862 105295293 116994770 140393724 175492155 210590586 222290063 233989540 350984310 421181172 444580126 526476465 666870189 701968620 889160252 1052952930 1111450315 1333740378 2000610567 2105905860 2222900630 2667480756 3334350945 4001221134 4445801260 6668701890 8002442268 10003052835 13337403780 20006105670 40012211340