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421123343321124 = 223237476726780131
BaseRepresentation
bin101111111000000100110101…
…1010010010000100000100100
32001020001222221212100222011100
41133300021223102100200210
5420144141101342233444
64051353220531040100
7154463105012440503
oct13760115322204044
92036058855328140
10421123343321124
11112201452707354
123b294637740030
13150c99b78540b2
1475dc69b2aa83a
1533a45b7e8ee69
hex17f026b490824

421123343321124 has 72 divisors (see below), whose sum is σ = 1116537873429888. Its totient is φ = 133674574743360.

The previous prime is 421123343321113. The next prime is 421123343321129.

421123343321124 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 2 + 3 + 3 + 433 + 211 + 2 + 4 = 666.

421123343321124 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4211233433211242 (a number of 30 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (421123343321129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3363327462 + ... + 3363452669.

It is an arithmetic number, because the mean of its divisors is an integer number (15507470464304).

Almost surely, 2421123343321124 is an apocalyptic number.

It is an amenable number.

421123343321124 is an abundant number, since it is smaller than the sum of its proper divisors (695414530108764).

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

421123343321124 is a wasteful number, since it uses less digits than its factorization.

421123343321124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6726780225 (or 6726780220 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 421123343321124 in words is "four hundred twenty-one trillion, one hundred twenty-three billion, three hundred forty-three million, three hundred twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 47 74 94 111 141 148 188 222 282 333 423 444 564 666 846 1332 1692 1739 3478 5217 6956 10434 15651 20868 31302 62604 6726780131 13453560262 20180340393 26907120524 40360680786 60541021179 80721361572 121082042358 242164084716 248890864847 316158666157 497781729694 632317332314 746672594541 948475998471 995563459388 1264634664628 1493345189082 1896951996942 2240017783623 2845427995413 2986690378164 3793903993884 4480035567246 5690855990826 8960071134492 11381711981652 11697870647809 23395741295618 35093611943427 46791482591236 70187223886854 105280835830281 140374447773708 210561671660562 421123343321124