Search a number
-
+
242737979184 = 243217928793271
BaseRepresentation
bin1110001000010001001…
…1111001111100110000
3212012112211022222100100
43202010103321330300
512434111410313214
6303302353152400
723352162531261
oct3420423717460
9765484288310
10242737979184
1193a43296558
123b06455b700
1319b756c4c5c
14ba6a16a968
1564aa4e4309
hex38844f9f30

242737979184 has 120 divisors (see below), whose sum is σ = 683570534400. Its totient is φ = 80408096640.

The previous prime is 242737979161. The next prime is 242737979189. The reversal of 242737979184 is 481979737242.

242737979184 is a `hidden beast` number, since 2 + 427 + 37 + 97 + 91 + 8 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (242737979189) 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, 74207469 + ... + 74210739.

It is an arithmetic number, because the mean of its divisors is an integer number (5696421120).

Almost surely, 2242737979184 is an apocalyptic number.

242737979184 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242737979184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341785267200).

242737979184 is an abundant number, since it is smaller than the sum of its proper divisors (440832555216).

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

242737979184 is a wasteful number, since it uses less digits than its factorization.

242737979184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6343 (or 6334 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 63.

The spelling of 242737979184 in words is "two hundred forty-two billion, seven hundred thirty-seven million, nine hundred seventy-nine thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 179 358 537 716 1074 1432 1611 2148 2864 2879 3222 3271 4296 5758 6444 6542 8592 8637 9813 11516 12888 13084 17274 19626 23032 25776 25911 26168 29439 34548 39252 46064 51822 52336 58878 69096 78504 103644 117756 138192 157008 207288 235512 414576 471024 515341 585509 1030682 1171018 1546023 1756527 2061364 2342036 3092046 3513054 4122728 4638069 4684072 5269581 6184092 7026108 8245456 9276138 9368144 9417209 10539162 12368184 14052216 18552276 18834418 21078324 24736368 28104432 28251627 37104552 37668836 42156648 56503254 74209104 75337672 84313296 84754881 113006508 150675344 169509762 226013016 339019524 452026032 678039048 1356078096 1685680411 3371360822 5057041233 6742721644 10114082466 13485443288 15171123699 20228164932 26970886576 30342247398 40456329864 60684494796 80912659728 121368989592 242737979184