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240120422412 = 2231359201112973
BaseRepresentation
bin1101111110100001001…
…0101110000000001100
3211221210101221022111020
43133220102232000030
512413231312004122
6302150525554140
723230256625363
oct3375022560014
9757711838436
10240120422412
119291a79a3a2
123a653a15950
13198493159b0
14b89c6787da
1563a57e6c5c
hex37e84ae00c

240120422412 has 96 divisors (see below), whose sum is σ = 613958741760. Its totient is φ = 72589236480.

The previous prime is 240120422407. The next prime is 240120422467. The reversal of 240120422412 is 214224021042.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 18502758 + ... + 18515730.

It is an arithmetic number, because the mean of its divisors is an integer number (6395403560).

Almost surely, 2240120422412 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 240120422412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306979370880).

240120422412 is an abundant number, since it is smaller than the sum of its proper divisors (373838319348).

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

240120422412 is a wasteful number, since it uses less digits than its factorization.

240120422412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15063 (or 15061 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 240120422412 its reverse (214224021042), we get a palindrome (454344443454).

The spelling of 240120422412 in words is "two hundred forty billion, one hundred twenty million, four hundred twenty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 156 177 236 354 708 767 1534 2011 2301 3068 4022 4602 6033 8044 9204 12066 12973 24132 25946 26143 38919 51892 52286 77838 78429 104572 118649 155676 156858 168649 237298 313716 337298 355947 474596 505947 674596 711894 765407 1011894 1423788 1530814 1542437 2023788 2296221 3061628 3084874 4592442 4627311 6169748 9184884 9254622 9950291 18509244 19900582 26088703 29850873 39801164 52177406 59701746 78266109 104354812 119403492 156532218 313064436 339153139 678306278 1017459417 1356612556 1539233477 2034918834 3078466954 4069837668 4617700431 6156933908 9235400862 18470801724 20010035201 40020070402 60030105603 80040140804 120060211206 240120422412