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61306125140 = 225133113954721
BaseRepresentation
bin111001000110001000…
…010011101101010100
312212020112021211121102
4321012020103231110
52001023332001030
644055203005232
74300136315501
oct710610235524
9185215254542
1061306125140
1123aaa789227
12ba6b369818
135a2022b0c0
142d7812a4a8
1518dc252c45
hexe46213b54

61306125140 has 96 divisors (see below), whose sum is σ = 144150881280. Its totient is φ = 21747916800.

The previous prime is 61306125119. The next prime is 61306125151. The reversal of 61306125140 is 4152160316.

It is a happy number.

It is a congruent number.

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, 1092980 + ... + 1147700.

It is an arithmetic number, because the mean of its divisors is an integer number (1501571680).

Almost surely, 261306125140 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 61306125140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72075440640).

61306125140 is an abundant number, since it is smaller than the sum of its proper divisors (82844756140).

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

61306125140 is a wasteful number, since it uses less digits than its factorization.

61306125140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54913 (or 54911 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 61306125140 its reverse (4152160316), we get a palindrome (65458285456).

The spelling of 61306125140 in words is "sixty-one billion, three hundred six million, one hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 139 155 260 278 310 403 556 620 695 806 1390 1612 1807 2015 2780 3614 4030 4309 7228 8060 8618 9035 17236 18070 21545 36140 43090 54721 56017 86180 109442 112034 218884 224068 273605 280085 547210 560170 711373 1094420 1120340 1422746 1696351 2845492 3392702 3556865 6785404 7113730 7606219 8481755 14227460 15212438 16963510 22052563 30424876 33927020 38031095 44105126 76062190 88210252 98880847 110262815 152124380 197761694 220525630 235792789 395523388 441051260 471585578 494404235 943171156 988808470 1178963945 1977616940 2357927890 3065306257 4715855780 6130612514 12261225028 15326531285 30653062570 61306125140