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413134233440 = 255117114711499
BaseRepresentation
bin1100000001100001011…
…10000001111101100000
31110111101000221120010012
412000300232001331200
523232044330432230
6513442524224052
741563565020535
oct6006056017540
91414330846105
10413134233440
1114a233560385
126809999b028
132cc5c77b6c6
1415dd26b0d8c
15ab2ea13395
hex6030b81f60

413134233440 has 96 divisors (see below), whose sum is σ = 978179328000. Its totient is φ = 164890252800.

The previous prime is 413134233433. The next prime is 413134233503. The reversal of 413134233440 is 44332431314.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 413134233397 and 413134233406.

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, 275605811 + ... + 275607309.

It is an arithmetic number, because the mean of its divisors is an integer number (10189368000).

Almost surely, 2413134233440 is an apocalyptic number.

413134233440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413134233440 is an abundant number, since it is smaller than the sum of its proper divisors (565045094560).

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

413134233440 is a wasteful number, since it uses less digits than its factorization.

413134233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 413134233440 its reverse (44332431314), we get a palindrome (457466664754).

The spelling of 413134233440 in words is "four hundred thirteen billion, one hundred thirty-four million, two hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1171 1471 1499 2342 2942 2998 4684 5855 5884 5996 7355 7495 9368 11710 11768 11992 14710 14990 18736 23420 23536 23984 29420 29980 37472 46840 47072 47968 58840 59960 93680 117680 119920 187360 235360 239840 1722541 1755329 2205029 3445082 3510658 4410058 6890164 7021316 8612705 8776645 8820116 11025145 13780328 14042632 17225410 17553290 17640232 22050290 27560656 28085264 34450820 35106580 35280464 44100580 55121312 56170528 68901640 70213160 70560928 88201160 137803280 140426320 176402320 275606560 280852640 352804640 2582088959 5164177918 10328355836 12910444795 20656711672 25820889590 41313423344 51641779180 82626846688 103283558360 206567116720 413134233440