Search a number
-
+
242021234004 = 2231123208738197
BaseRepresentation
bin1110000101100110010…
…1101111010101010100
3212010200212122112210120
43201121211233111110
512431124413442004
6303103310551540
723325340355214
oct3413145572524
9763625575716
10242021234004
119370574a270
123aaa45085b0
1319a90071a94
14b9dccb4244
1564676153d9
hex385996f554

242021234004 has 96 divisors (see below), whose sum is σ = 643163867136. Its totient is φ = 70115633280.

The previous prime is 242021233991. The next prime is 242021234017. The reversal of 242021234004 is 400432120242.

It is an interprime number because it is at equal distance from previous prime (242021233991) and next prime (242021234017).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6317034 + ... + 6355230.

It is an arithmetic number, because the mean of its divisors is an integer number (6699623616).

Almost surely, 2242021234004 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 242021234004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321581933568).

242021234004 is an abundant number, since it is smaller than the sum of its proper divisors (401142633132).

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

242021234004 is a wasteful number, since it uses less digits than its factorization.

242021234004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40325 (or 40323 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 242021234004 its reverse (400432120242), we get a palindrome (642453354246).

The spelling of 242021234004 in words is "two hundred forty-two billion, twenty-one million, two hundred thirty-four thousand, four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 2087 3036 4174 6261 8348 12522 22957 25044 38197 45914 48001 68871 76394 91828 96002 114591 137742 144003 152788 192004 229182 275484 288006 420167 458364 528011 576012 840334 878531 1056022 1260501 1584033 1680668 1757062 2112044 2521002 2635593 3168066 3514124 5042004 5271186 6336132 9663841 10542372 19327682 28991523 38655364 57983046 79717139 115966092 159434278 239151417 318868556 478302834 876888529 956605668 1753777058 1833494197 2630665587 3507554116 3666988394 5261331174 5500482591 7333976788 10522662348 11000965182 20168436167 22001930364 40336872334 60505308501 80673744668 121010617002 242021234004