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61043041040 = 24517371213097
BaseRepresentation
bin111000110110011100…
…101110001100010000
312211120012020210001212
4320312130232030100
52000004004303130
644013124115252
74260463200452
oct706634561420
9184505223055
1061043041040
1123985229253
12b9b7235b28
1359aa887137
142d512062d2
1518c40d6e95
hexe3672e310

61043041040 has 80 divisors (see below), whose sum is σ = 154335179952. Its totient is φ = 22359785472.

The previous prime is 61043041013. The next prime is 61043041043. The reversal of 61043041040 is 4014034016.

It can be written as a sum of positive squares in 8 ways, for example, as 19342133776 + 41700907264 = 139076^2 + 204208^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×610430410402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61043040997 and 61043041015.

It is not an unprimeable number, because it can be changed into a prime (61043041043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556229 + ... + 656868.

Almost surely, 261043041040 is an apocalyptic number.

It is an amenable number.

61043041040 is an abundant number, since it is smaller than the sum of its proper divisors (93292138912).

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

61043041040 is a wasteful number, since it uses less digits than its factorization.

61043041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213164 (or 1213158 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 61043041040 its reverse (4014034016), we get a palindrome (65057075056).

The spelling of 61043041040 in words is "sixty-one billion, forty-three million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 37 40 68 74 80 85 136 148 170 185 272 296 340 370 592 629 680 740 1258 1360 1480 2516 2960 3145 5032 6290 10064 12580 25160 50320 1213097 2426194 4852388 6065485 9704776 12130970 19409552 20622649 24261940 41245298 44884589 48523880 82490596 89769178 97047760 103113245 164981192 179538356 206226490 224422945 329962384 359076712 412452980 448845890 718153424 763038013 824905960 897691780 1526076026 1649811920 1795383560 3052152052 3590767120 3815190065 6104304104 7630380130 12208608208 15260760260 30521520520 61043041040