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124314241212144 = 24325669152283179
BaseRepresentation
bin11100010001000000101010…
…001100000001111011110000
3121022011022210012202022001100
4130101000222030001323300
5112243231031222242034
61120221101330404400
735120256533342604
oct3421005214017360
9538138705668040
10124314241212144
1136679412331595
1211b38b23a30700
135449a23619649
14229abaca57504
15e58a7319d099
hex71102a301ef0

124314241212144 has 60 divisors (see below), whose sum is σ = 347968589131800. Its totient is φ = 41430770539392.

The previous prime is 124314241212059. The next prime is 124314241212197. The reversal of 124314241212144 is 441212142413421.

124314241212144 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 1 + 424 + 1 + 212 + 14 + 4 = 666.

It is a super-2 number, since 2×1243142412121442 (a number of 29 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 a junction number, because it is equal to n+sod(n) for n = 124314241212099 and 124314241212108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75325254 + ... + 76957925.

It is an arithmetic number, because the mean of its divisors is an integer number (5799476485530).

Almost surely, 2124314241212144 is an apocalyptic number.

It is an amenable number.

124314241212144 is an abundant number, since it is smaller than the sum of its proper divisors (223654347919656).

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

124314241212144 is a wasteful number, since it uses less digits than its factorization.

124314241212144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152288862 (or 152288853 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

Adding to 124314241212144 its reverse (441212142413421), we get a palindrome (565526383625565).

The spelling of 124314241212144 in words is "one hundred twenty-four trillion, three hundred fourteen billion, two hundred forty-one million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 5669 11338 17007 22676 34014 45352 51021 68028 90704 102042 136056 204084 272112 408168 816336 152283179 304566358 456849537 609132716 913699074 1218265432 1370548611 1827398148 2436530864 2741097222 3654796296 5482194444 7309592592 10964388888 21928777776 863293341751 1726586683502 2589880025253 3453173367004 5179760050506 6906346734008 7769640075759 10359520101012 13812693468016 15539280151518 20719040202024 31078560303036 41438080404048 62157120606072 124314241212144