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44204121202212 = 22331574196221933
BaseRepresentation
bin10100000110100000100101…
…11100010001111000100100
312210111212120012200011101000
422003100102330101320210
521243220020011432322
6234003032024033300
712211433221456506
oct1203202274217044
9183455505604330
1044204121202212
11130a2954024084
124b5b07a902830
131b8857a45bc4a
14acb6c2d9dd76
15519cb5d633ac
hex283412f11e24

44204121202212 has 96 divisors (see below), whose sum is σ = 115608511267200. Its totient is φ = 14605910706816.

The previous prime is 44204121202201. The next prime is 44204121202301. The reversal of 44204121202212 is 21220212140244.

44204121202212 is a `hidden beast` number, since 4 + 4 + 2 + 0 + 412 + 1 + 20 + 221 + 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 31 ways as a sum of consecutive naturals, for example, 3993598 + ... + 10215530.

It is an arithmetic number, because the mean of its divisors is an integer number (1204255325700).

Almost surely, 244204121202212 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 44204121202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57804255633600).

44204121202212 is an abundant number, since it is smaller than the sum of its proper divisors (71404390064988).

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

44204121202212 is a wasteful number, since it uses less digits than its factorization.

44204121202212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6222522 (or 6222514 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 44204121202212 its reverse (21220212140244), we get a palindrome (65424333342456).

The spelling of 44204121202212 in words is "forty-four trillion, two hundred four billion, one hundred twenty-one million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 157 314 419 471 628 838 942 1257 1413 1676 1884 2514 2826 3771 4239 5028 5652 7542 8478 11313 15084 16956 22626 45252 65783 131566 197349 263132 394698 592047 789396 1184094 1776141 2368188 3552282 6221933 7104564 12443866 18665799 24887732 37331598 55997397 74663196 111994794 167992191 223989588 335984382 671968764 976843481 1953686962 2606989927 2930530443 3907373924 5213979854 5861060886 7820969781 8791591329 10427959708 11722121772 15641939562 17583182658 23462909343 26374773987 31283879124 35166365316 46925818686 52749547974 70388728029 93851637372 105499095948 140777456058 281554912116 409297418539 818594837078 1227892255617 1637189674156 2455784511234 3683676766851 4911569022468 7367353533702 11051030300553 14734707067404 22102060601106 44204121202212