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44242444424244 = 223114277909091
BaseRepresentation
bin10100000111100111111110…
…01011110001010000110100
312210122112111000120112220210
422003303333023301100310
521244332011233033434
6234032410503425420
712214261005464013
oct1203637713612064
9183575430515823
1044242444424244
111310812a530000
124b66595155270
131b8c077005aa1
14acd4ba9aca7a
1551acaa531ee9
hex283cff2f1434

44242444424244 has 120 divisors (see below), whose sum is σ = 113964973121440. Its totient is φ = 13358386641600.

The previous prime is 44242444424239. The next prime is 44242444424249.

It is a happy number.

44242444424244 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (44242444424239) and next prime (44242444424249).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44242444424193 and 44242444424202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44242444424249) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48212139 + ... + 49121229.

Almost surely, 244242444424244 is an apocalyptic number.

44242444424244 is a gapful number since it is divisible by the number (44) 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 44242444424244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56982486560720).

44242444424244 is an abundant number, since it is smaller than the sum of its proper divisors (69722528697196).

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

44242444424244 is a wasteful number, since it uses less digits than its factorization.

44242444424244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909419 (or 909384 counting only the distinct ones).

The product of its digits is 16777216, while the sum is 48.

It can be divided in two parts, 4424244 and 4424244, that added together give a palindrome (8848488).

The spelling of 44242444424244 in words is "forty-four trillion, two hundred forty-two billion, four hundred forty-four million, four hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 277 363 484 554 726 831 1108 1331 1452 1662 2662 3047 3324 3993 5324 6094 7986 9141 12188 14641 15972 18282 29282 33517 36564 43923 58564 67034 87846 100551 134068 175692 201102 368687 402204 737374 909091 1106061 1474748 1818182 2212122 2727273 3636364 4055557 4424244 5454546 8111114 10000001 10909092 12166671 16222228 20000002 24333342 30000003 40000004 48666684 60000006 110000011 120000012 220000022 251818207 330000033 440000044 503636414 660000066 755454621 1007272828 1210000121 1320000132 1510909242 2420000242 2770000277 3021818484 3630000363 4840000484 5540000554 7260000726 8310000831 11080001108 13310001331 14520001452 16620001662 26620002662 30470003047 33240003324 39930003993 53240005324 60940006094 79860007986 91410009141 121880012188 159720015972 182820018282 335170033517 365640036564 670340067034 1005510100551 1340680134068 2011020201102 3686870368687 4022040402204 7373740737374 11060611106061 14747481474748 22121222212122 44242444424244