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60414346404 = 223231413313989
BaseRepresentation
bin111000010000111110…
…011100010010100100
312202221101020210011100
4320100332130102210
51442212033041104
643430505040100
74236060320466
oct702076342244
9182841223140
1060414346404
1123692361705
12b860786030
13590a552789
142cd1910136
151888cec139
hexe10f9c4a4

60414346404 has 144 divisors (see below), whose sum is σ = 162013662720. Its totient is φ = 18950976000.

The previous prime is 60414346403. The next prime is 60414346561. The reversal of 60414346404 is 40464341406.

60414346404 is a `hidden beast` number, since 6 + 0 + 4 + 1 + 4 + 3 + 4 + 640 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (60414346403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15143242 + ... + 15147230.

It is an arithmetic number, because the mean of its divisors is an integer number (1125094880).

Almost surely, 260414346404 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 60414346404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81006831360).

60414346404 is an abundant number, since it is smaller than the sum of its proper divisors (101599316316).

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

60414346404 is a wasteful number, since it uses less digits than its factorization.

60414346404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 60414346404 in words is "sixty billion, four hundred fourteen million, three hundred forty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 31 36 41 62 82 93 123 124 164 186 246 279 331 369 372 492 558 662 738 993 1116 1271 1324 1476 1986 2542 2979 3813 3972 3989 5084 5958 7626 7978 10261 11439 11916 11967 13571 15252 15956 20522 22878 23934 27142 30783 35901 40713 41044 45756 47868 54284 61566 71802 81426 92349 122139 123132 123659 143604 162852 163549 184698 244278 247318 327098 369396 370977 420701 488556 490647 494636 654196 741954 841402 981294 1112931 1262103 1320359 1471941 1483908 1682804 1962588 2225862 2524206 2640718 2943882 3786309 3961077 4451724 5048412 5070019 5281436 5887764 7572618 7922154 10140038 11883231 15145236 15210057 15844308 20280076 23766462 30420114 40931129 45630171 47532924 54134719 60840228 81862258 91260342 108269438 122793387 162404157 163724516 182520684 216538876 245586774 324808314 368380161 487212471 491173548 649616628 736760322 974424942 1473520644 1678176289 1948849884 3356352578 5034528867 6712705156 10069057734 15103586601 20138115468 30207173202 60414346404