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414214154225142 = 231944912236616789
BaseRepresentation
bin101111000101110011011111…
…1100001100000010111110110
32000022121111010121010220002120
41132023212333201200113312
5413242441041440201032
64024543204442220410
7153150661611223425
oct13613467741402766
92008544117126076
10414214154225142
1110aa88266579307
123a55958a1b4706
1314a182c504aacb
1474401019392bc
1532d49d9dea62c
hex178b9bf8605f6

414214154225142 has 64 divisors (see below), whose sum is σ = 874686703680000. Its totient is φ = 130406410487808.

The previous prime is 414214154225051. The next prime is 414214154225147. The reversal of 414214154225142 is 241522451412414.

It is a junction number, because it is equal to n+sod(n) for n = 414214154225094 and 414214154225103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414214154225147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59292084 + ... + 65908872.

It is an arithmetic number, because the mean of its divisors is an integer number (13666979745000).

Almost surely, 2414214154225142 is an apocalyptic number.

414214154225142 is an abundant number, since it is smaller than the sum of its proper divisors (460472549454858).

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

414214154225142 is a wasteful number, since it uses less digits than its factorization.

414214154225142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6618485.

The product of its digits is 409600, while the sum is 42.

The spelling of 414214154225142 in words is "four hundred fourteen trillion, two hundred fourteen billion, one hundred fifty-four million, two hundred twenty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 19 38 57 114 449 898 1223 1347 2446 2694 3669 7338 8531 17062 23237 25593 46474 51186 69711 139422 549127 1098254 1647381 3294762 6616789 10433413 13233578 19850367 20866826 31300239 39700734 62600478 125718991 251437982 377156973 754313946 2970938261 5941876522 8092332947 8912814783 16184665894 17825629566 24276998841 48553997682 56447826959 112895653918 153754325993 169343480877 307508651986 338686961754 461262977979 922525955958 3633457493203 7266914986406 10900372479609 21800744959218 69035692370857 138071384741714 207107077112571 414214154225142