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40214222340 = 223512717929483
BaseRepresentation
bin100101011100111101…
…000101011000000100
310211210121011011022020
4211130331011120010
51124324320103330
630250230203140
72622355151505
oct453475053004
9124717134266
1040214222340
11160669754a6
1279637b34b0
133a3b579246
141d36c12bac
1510a5700210
hex95cf45604

40214222340 has 96 divisors (see below), whose sum is σ = 114124308480. Its totient is φ = 10579556736.

The previous prime is 40214222333. The next prime is 40214222369. The reversal of 40214222340 is 4322241204.

It is a self number, because there is not a number n which added to its sum of digits gives 40214222340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1349239 + ... + 1378721.

It is an arithmetic number, because the mean of its divisors is an integer number (1188794880).

Almost surely, 240214222340 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 40214222340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57062154240).

40214222340 is an abundant number, since it is smaller than the sum of its proper divisors (73910086140).

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

40214222340 is a wasteful number, since it uses less digits than its factorization.

40214222340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29801 (or 29799 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40214222340 its reverse (4322241204), we get a palindrome (44536463544).

The spelling of 40214222340 in words is "forty billion, two hundred fourteen million, two hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 179 254 358 381 508 537 635 716 762 895 1074 1270 1524 1790 1905 2148 2540 2685 3580 3810 5370 7620 10740 22733 29483 45466 58966 68199 88449 90932 113665 117932 136398 147415 176898 227330 272796 294830 340995 353796 442245 454660 589660 681990 884490 1363980 1768980 3744341 5277457 7488682 10554914 11233023 14977364 15832371 18721705 21109828 22466046 26387285 31664742 37443410 44932092 52774570 56165115 63329484 74886820 79161855 105549140 112330230 158323710 224660460 316647420 670237039 1340474078 2010711117 2680948156 3351185195 4021422234 6702370390 8042844468 10053555585 13404740780 20107111170 40214222340