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244142314002 = 23479157121507
BaseRepresentation
bin1110001101100000000…
…1000001001000010010
3212100011200211120120000
43203120001001020102
513000000413022002
6304054001030430
723432034300006
oct3433001011022
9770150746500
10244142314002
11945a3a76044
123b396925416
131a03a6307c2
14bb6088a706
15653d94361c
hex38d8041212

244142314002 has 80 divisors (see below), whose sum is σ = 557517586560. Its totient is φ = 79838190432.

The previous prime is 244142313973. The next prime is 244142314049. The reversal of 244142314002 is 200413241442.

244142314002 is a `hidden beast` number, since 24 + 4 + 1 + 4 + 231 + 400 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1948533 + ... + 2070039.

It is an arithmetic number, because the mean of its divisors is an integer number (6968969832).

Almost surely, 2244142314002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244142314002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278758793280).

244142314002 is an abundant number, since it is smaller than the sum of its proper divisors (313375272558).

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

244142314002 is a wasteful number, since it uses less digits than its factorization.

244142314002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121757 (or 121748 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 244142314002 its reverse (200413241442), we get a palindrome (444555555444).

The spelling of 244142314002 in words is "two hundred forty-four billion, one hundred forty-two million, three hundred fourteen thousand, two".

Divisors: 1 2 3 6 9 18 27 54 79 81 157 158 162 237 314 471 474 711 942 1413 1422 2133 2826 4239 4266 6399 8478 12403 12717 12798 24806 25434 37209 74418 111627 121507 223254 243014 334881 364521 669762 729042 1004643 1093563 2009286 2187126 3280689 6561378 9599053 9842067 19076599 19198106 19684134 28797159 38153198 57229797 57594318 86391477 114459594 171689391 172782954 259174431 343378782 515068173 518348862 777523293 1030136346 1507051321 1545204519 1555046586 3014102642 3090409038 4521153963 9042307926 13563461889 27126923778 40690385667 81380771334 122071157001 244142314002