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244205050080 = 2535659772019
BaseRepresentation
bin1110001101101111000…
…0010101100011100000
3212100100001212220021110
43203123300111203200
513000112443100310
6304104121423320
723433425451015
oct3433360254340
9770301786243
10244205050080
1194626425642
123b3b393ab40
131a04a627c44
14bb68d3b70c
1565441d6d20
hex38dbc158e0

244205050080 has 96 divisors (see below), whose sum is σ = 770414198400. Its totient is φ = 65022444032.

The previous prime is 244205050057. The next prime is 244205050081. The reversal of 244205050080 is 80050502442.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2442050500802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244205050081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69690 + ... + 702329.

It is an arithmetic number, because the mean of its divisors is an integer number (8025147900).

Almost surely, 2244205050080 is an apocalyptic number.

244205050080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244205050080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385207099200).

244205050080 is an abundant number, since it is smaller than the sum of its proper divisors (526209148320).

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

244205050080 is a wasteful number, since it uses less digits than its factorization.

244205050080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772696 (or 772688 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 244205050080 in words is "two hundred forty-four billion, two hundred five million, fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 659 1318 1977 2636 3295 3954 5272 6590 7908 9885 10544 13180 15816 19770 21088 26360 31632 39540 52720 63264 79080 105440 158160 316320 772019 1544038 2316057 3088076 3860095 4632114 6176152 7720190 9264228 11580285 12352304 15440380 18528456 23160570 24704608 30880760 37056912 46321140 61761520 74113824 92642280 123523040 185284560 370569120 508760521 1017521042 1526281563 2035042084 2543802605 3052563126 4070084168 5087605210 6105126252 7631407815 8140168336 10175210420 12210252504 15262815630 16280336672 20350420840 24420505008 30525631260 40700841680 48841010016 61051262520 81401683360 122102525040 244205050080