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440341414002 = 2327311039108503
BaseRepresentation
bin1100110100001100110…
…01001100000001110010
31120002121011001112110100
412122012121030001302
524203304400222002
6534142352413230
743546033155630
oct6320631140162
91502534045410
10440341414002
1115a825280876
1271411547216
13326a735ba09
1417453c44350
15b6c337011c
hex668664c072

440341414002 has 96 divisors (see below), whose sum is σ = 1126636093440. Its totient is φ = 121635082080.

The previous prime is 440341413949. The next prime is 440341414103. The reversal of 440341414002 is 200414143044.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4004083 + ... + 4112585.

It is an arithmetic number, because the mean of its divisors is an integer number (11735792640).

Almost surely, 2440341414002 is an apocalyptic number.

440341414002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 440341414002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563318046720).

440341414002 is an abundant number, since it is smaller than the sum of its proper divisors (686294679438).

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

440341414002 is a wasteful number, since it uses less digits than its factorization.

440341414002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109588 (or 109585 counting only the distinct ones).

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

Adding to 440341414002 its reverse (200414143044), we get a palindrome (640755557046).

The spelling of 440341414002 in words is "four hundred forty billion, three hundred forty-one million, four hundred fourteen thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1039 1302 1953 2078 3117 3906 6234 7273 9351 14546 18702 21819 32209 43638 64418 65457 96627 108503 130914 193254 217006 225463 289881 325509 450926 579762 651018 676389 759521 976527 1352778 1519042 1953054 2029167 2278563 3363593 4058334 4557126 6727186 6835689 10090779 13671378 20181558 23545151 30272337 47090302 60544674 70635453 112734617 141270906 211906359 225469234 338203851 423812718 676407702 789142319 1014611553 1578284638 2029223106 2367426957 3494773127 4734853914 6989546254 7102280871 10484319381 14204561742 20968638762 24463411889 31452958143 48926823778 62905916286 73390235667 146780471334 220170707001 440341414002