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7142104125 = 3653136029
BaseRepresentation
bin1101010011011001…
…11101110000111101
3200102202010111000000
412221230331300331
5104111334313000
63140412024513
7341662612002
oct65154756075
920382114000
107142104125
1130355935a2
121473a62139
1389a89bc20
144ba78b8a9
152bc039000
hex1a9b3dc3d

7142104125 has 112 divisors (see below), whose sum is σ = 14394285360. Its totient is φ = 3515529600.

The previous prime is 7142104097. The next prime is 7142104127. The reversal of 7142104125 is 5214012417.

It can be written as a sum of positive squares in 8 ways, for example, as 1870908516 + 5271195609 = 43254^2 + 72603^2 .

It is not a de Polignac number, because 7142104125 - 29 = 7142103613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7142104127) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1181611 + ... + 1187639.

It is an arithmetic number, because the mean of its divisors is an integer number (128520405).

Almost surely, 27142104125 is an apocalyptic number.

7142104125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7142104125 is an abundant number, since it is smaller than the sum of its proper divisors (7252181235).

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

7142104125 is an equidigital number, since it uses as much as digits as its factorization.

7142104125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6075 (or 6050 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 7142104125 is about 84510.9704417125. The cubic root of 7142104125 is about 1925.7891069635.

The spelling of 7142104125 in words is "seven billion, one hundred forty-two million, one hundred four thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 125 135 195 225 243 325 351 375 405 585 675 729 975 1053 1125 1215 1625 1755 2025 2925 3159 3375 3645 4875 5265 6029 6075 8775 9477 10125 14625 15795 18087 18225 26325 30145 30375 43875 47385 54261 78377 78975 90435 91125 131625 150725 162783 235131 236925 271305 391885 394875 452175 488349 705393 753625 813915 1175655 1184625 1356525 1465047 1959425 2116179 2260875 2441745 3526965 4069575 4395141 5878275 6348537 6782625 7325235 9797125 10580895 12208725 17634825 19045611 20347875 21975705 29391375 31742685 36626175 52904475 57136833 61043625 88174125 95228055 109878525 158713425 183130875 264522375 285684165 476140275 549392625 793567125 1428420825 2380701375 7142104125