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242241303132 = 223413916332999
BaseRepresentation
bin1110000110011010110…
…1001111001001011100
3212011021012202012220000
43201212231033021130
512432102233200012
6303141211454300
723333652050163
oct3414655171134
9764235665800
10242241303132
119380899a484
123ab46157390
1319ac6834aba
14ba201dc3da
15647bad5ddc
hex3866b4f25c

242241303132 has 120 divisors (see below), whose sum is σ = 641754960000. Its totient is φ = 79671955104.

The previous prime is 242241303103. The next prime is 242241303137. The reversal of 242241303132 is 231303142242.

242241303132 is a `hidden beast` number, since 2 + 4 + 224 + 1 + 303 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 242241303096 and 242241303105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242241303137) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7324369 + ... + 7357367.

It is an arithmetic number, because the mean of its divisors is an integer number (5347958000).

Almost surely, 2242241303132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242241303132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320877480000).

242241303132 is an abundant number, since it is smaller than the sum of its proper divisors (399513656868).

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

242241303132 is a wasteful number, since it uses less digits than its factorization.

242241303132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33317 (or 33306 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 242241303132 its reverse (231303142242), we get a palindrome (473544445374).

The spelling of 242241303132 in words is "two hundred forty-two billion, two hundred forty-one million, three hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 139 162 163 278 324 326 417 489 556 652 834 978 1251 1467 1668 1956 2502 2934 3753 4401 5004 5868 7506 8802 11259 13203 15012 17604 22518 22657 26406 32999 45036 45314 52812 65998 67971 90628 98997 131996 135942 197994 203913 271884 296991 395988 407826 593982 611739 815652 890973 1187964 1223478 1781946 1835217 2446956 2672919 3563892 3670434 4586861 5345838 5378837 7340868 9173722 10691676 10757674 13760583 16136511 18347444 21515348 27521166 32273022 41281749 48409533 55042332 64546044 82563498 96819066 123845247 145228599 165126996 193638132 247690494 290457198 371535741 435685797 495380988 580914396 743071482 747658343 871371594 1486142964 1495316686 1742743188 2242975029 2990633372 4485950058 6728925087 8971900116 13457850174 20186775261 26915700348 40373550522 60560325783 80747101044 121120651566 242241303132