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61106420340 = 223257313154943
BaseRepresentation
bin111000111010001110…
…011111101001110100
312211201121111210010100
4320322032133221310
52000121220422330
644023310354100
74262163000660
oct707216375164
9184647453110
1061106420340
1123a07a88039
12ba144bb930
1359baa48294
142d597c38a0
1518c9956060
hexe3a39fa74

61106420340 has 144 divisors (see below), whose sum is σ = 212513753088. Its totient is φ = 13922468352.

The previous prime is 61106420339. The next prime is 61106420359. The reversal of 61106420340 is 4302460116.

61106420340 is a `hidden beast` number, since 6 + 1 + 10 + 642 + 0 + 3 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316909 + ... + 471851.

It is an arithmetic number, because the mean of its divisors is an integer number (1475789952).

Almost surely, 261106420340 is an apocalyptic number.

61106420340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61106420340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106256876544).

61106420340 is an abundant number, since it is smaller than the sum of its proper divisors (151407332748).

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

61106420340 is a wasteful number, since it uses less digits than its factorization.

61106420340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155278 (or 155273 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 61106420340 its reverse (4302460116), we get a palindrome (65408880456).

The spelling of 61106420340 in words is "sixty-one billion, one hundred six million, four hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 313 315 420 626 630 939 1252 1260 1565 1878 2191 2817 3130 3756 4382 4695 5634 6260 6573 8764 9390 10955 11268 13146 14085 18780 19719 21910 26292 28170 32865 39438 43820 56340 65730 78876 98595 131460 154943 197190 309886 394380 464829 619772 774715 929658 1084601 1394487 1549430 1859316 2169202 2324145 2788974 3098860 3253803 4338404 4648290 5423005 5577948 6507606 6972435 9296580 9761409 10846010 13015212 13944870 16269015 19522818 21692020 27889740 32538030 39045636 48497159 48807045 65076060 96994318 97614090 145491477 193988636 195228180 242485795 290982954 339480113 436474431 484971590 581965908 678960226 727457385 872948862 969943180 1018440339 1357920452 1454914770 1697400565 1745897724 2036880678 2182372155 2909829540 3055321017 3394801130 4073761356 4364744310 5092201695 6110642034 6789602260 8729488620 10184403390 12221284068 15276605085 20368806780 30553210170 61106420340