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421247686742124 = 223112377840959101
BaseRepresentation
bin101111111000111110101111…
…0101110110001000001101100
32001020111212220120110020011020
41133301331132232301001230
5420203210230301221444
64051530303222054140
7154505066242203054
oct13761753656610154
92036455816406136
10421247686742124
1111224a160296a00
123b2b4759b7a350
1315108642851658
1476046d5400564
1533a7944405119
hex17f1f5ebb106c

421247686742124 has 72 divisors (see below), whose sum is σ = 1109589804442224. Its totient is φ = 124200792144000.

The previous prime is 421247686742101. The next prime is 421247686742147.

421247686742124 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (421247686742101) and next prime (421247686742147).

It is a super-2 number, since 2×4212476867421242 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3920425827 + ... + 3920533274.

It is an arithmetic number, because the mean of its divisors is an integer number (15410969506142).

Almost surely, 2421247686742124 is an apocalyptic number.

421247686742124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

421247686742124 is an abundant number, since it is smaller than the sum of its proper divisors (688342117700100).

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

421247686742124 is a wasteful number, since it uses less digits than its factorization.

421247686742124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7840959167 (or 7840959154 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 60.

The spelling of 421247686742124 in words is "four hundred twenty-one trillion, two hundred forty-seven billion, six hundred eighty-six million, seven hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 121 132 148 222 242 363 407 444 484 726 814 1221 1452 1628 2442 4477 4884 8954 13431 17908 26862 53724 7840959101 15681918202 23522877303 31363836404 47045754606 86250550111 94091509212 172501100222 258751650333 290115486737 345002200444 517503300666 580230973474 870346460211 948756051221 1035006601332 1160461946948 1740692920422 1897512102442 2846268153663 3191270354107 3481385840844 3795024204884 5692536307326 6382540708214 9573811062321 11385072614652 12765081416428 19147622124642 35103973895177 38295244249284 70207947790354 105311921685531 140415895580708 210623843371062 421247686742124