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44216038242 = 2331771739293
BaseRepresentation
bin101001001011011110…
…110011001101100010
311020010111021110201000
4221023132303031202
51211023301210432
632151303052430
73123500060325
oct511336631542
9136114243630
1044216038242
111782a889a72
12869ba41116
13422868534c
1421d64ba7bc
15123bbd357c
hexa4b7b3362

44216038242 has 128 divisors (see below), whose sum is σ = 106959813120. Its totient is φ = 13487523840.

The previous prime is 44216038241. The next prime is 44216038297. The reversal of 44216038242 is 24283061244.

44216038242 is a `hidden beast` number, since 4 + 4 + 2 + 1 + 603 + 8 + 2 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 44216038197 and 44216038206.

It is not an unprimeable number, because it can be changed into a prime (44216038241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4753348 + ... + 4762640.

It is an arithmetic number, because the mean of its divisors is an integer number (835623540).

Almost surely, 244216038242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44216038242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53479906560).

44216038242 is an abundant number, since it is smaller than the sum of its proper divisors (62743774878).

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

44216038242 is a wasteful number, since it uses less digits than its factorization.

44216038242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9465 (or 9459 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 44216038242 its reverse (24283061244), we get a palindrome (68499099486).

The spelling of 44216038242 in words is "forty-four billion, two hundred sixteen million, thirty-eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 71 73 102 142 146 153 213 219 306 426 438 459 639 657 918 1207 1241 1278 1314 1917 1971 2414 2482 3621 3723 3834 3942 5183 7242 7446 9293 10366 10863 11169 15549 18586 21726 22338 27879 31098 32589 33507 46647 55758 65178 67014 83637 88111 93294 139941 157981 167274 176222 250911 264333 279882 315962 473943 501822 528666 659803 678389 792999 947886 1319606 1356778 1421829 1585998 1979409 2035167 2378997 2843658 3958818 4070334 4265487 4757994 5938227 6105501 8530974 11216651 11532613 11876454 12211002 17814681 18316503 22433302 23065226 33649953 34597839 35629362 36633006 48165619 67299906 69195678 96331238 100949859 103793517 144496857 201899718 207587034 288993714 302849577 311380551 433490571 605699154 622761102 818815523 866981142 1300471713 1637631046 2456446569 2600943426 4912893138 7369339707 14738679414 22108019121 44216038242