Search a number
-
+
124053555042 = 232315312733029
BaseRepresentation
bin111001110001000101…
…0110000011101100010
3102212012111122112122200
41303202022300131202
54013030202230132
6132553414114030
711651106551064
oct1634212603542
9385174575580
10124053555042
1148679aa800a
122006134b916
13b90cc3a351
14600b83b734
153360ca8d7c
hex1ce22b0762

124053555042 has 96 divisors (see below), whose sum is σ = 284922593280. Its totient is φ = 38951902080.

The previous prime is 124053555037. The next prime is 124053555077. The reversal of 124053555042 is 240555350421.

124053555042 is a `hidden beast` number, since 12 + 4 + 0 + 53 + 5 + 550 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 124053554988 and 124053555006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3739384 + ... + 3772412.

It is an arithmetic number, because the mean of its divisors is an integer number (2967943680).

Almost surely, 2124053555042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124053555042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142461296640).

124053555042 is an abundant number, since it is smaller than the sum of its proper divisors (160869038238).

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

124053555042 is a wasteful number, since it uses less digits than its factorization.

124053555042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33248 (or 33245 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 124053555042 in words is "one hundred twenty-four billion, fifty-three million, five hundred fifty-five thousand, forty-two".

Divisors: 1 2 3 6 9 18 31 53 62 93 106 127 159 186 254 279 318 381 477 558 762 954 1143 1643 2286 3286 3937 4929 6731 7874 9858 11811 13462 14787 20193 23622 29574 33029 35433 40386 60579 66058 70866 99087 121158 198174 208661 297261 417322 594522 625983 1023899 1251966 1750537 1877949 2047798 3071697 3501074 3755898 4194683 5251611 6143394 8389366 9215091 10503222 12584049 15754833 18430182 25168098 31509666 37752147 54266647 75504294 108533294 130035173 162799941 222318199 260070346 325599882 390105519 444636398 488399823 666954597 780211038 976799646 1170316557 1333909194 2000863791 2340633114 4001727582 6891864169 13783728338 20675592507 41351185014 62026777521 124053555042