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61140347400 = 23352119263689
BaseRepresentation
bin111000111100001111…
…111010101000001000
312211210222100110022010
4320330033322220020
52000203412104100
644030521455520
74263054243456
oct707417725010
9184728313263
1061140347400
1123a2514aa30
12ba239415a0
1359c4a96872
142d600d59d6
1518cc908750
hexe3c3faa08

61140347400 has 96 divisors (see below), whose sum is σ = 206765560800. Its totient is φ = 14821900800.

The previous prime is 61140347383. The next prime is 61140347419. The reversal of 61140347400 is 474304116.

61140347400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4625245 + ... + 4638444.

It is an arithmetic number, because the mean of its divisors is an integer number (2153807925).

Almost surely, 261140347400 is an apocalyptic number.

61140347400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61140347400 is an abundant number, since it is smaller than the sum of its proper divisors (145625213400).

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

61140347400 is a wasteful number, since it uses less digits than its factorization.

61140347400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9263719 (or 9263710 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 61140347400 in words is "sixty-one billion, one hundred forty million, three hundred forty-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 9263689 18527378 27791067 37054756 46318445 55582134 74109512 92636890 101900579 111164268 138955335 185273780 203801158 222328536 231592225 277910670 305701737 370547560 407602316 463184450 509502895 555821340 611403474 694776675 815204632 926368900 1019005790 1111642680 1222806948 1389553350 1528508685 1852737800 2038011580 2445613896 2547514475 2779106700 3057017370 4076023160 5095028950 5558213400 6114034740 7642543425 10190057900 12228069480 15285086850 20380115800 30570173700 61140347400