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34433022212440 = 23523241155299577
BaseRepresentation
bin1111101010001000100000…
…00011101011100101011000
311111220202122112002000212021
413311010100003223211120
514003122312141244230
6201122151222024224
710152463250440225
oct765042003534530
9144822575060767
1034433022212440
11aa75a6540aa85
123a41425578074
13162a0350cba97
148707d244294c
153eaa36786c7a
hex1f51100eb958

34433022212440 has 64 divisors (see below), whose sum is σ = 81178195412160. Its totient is φ = 13119708180480.

The previous prime is 34433022212333. The next prime is 34433022212461. The reversal of 34433022212440 is 4421222033443.

It is a junction number, because it is equal to n+sod(n) for n = 34433022212396 and 34433022212405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77428069 + ... + 77871508.

It is an arithmetic number, because the mean of its divisors is an integer number (1268409303315).

Almost surely, 234433022212440 is an apocalyptic number.

It is an amenable number.

34433022212440 is an abundant number, since it is smaller than the sum of its proper divisors (46745173199720).

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

34433022212440 is a wasteful number, since it uses less digits than its factorization.

34433022212440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155299852 (or 155299848 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 34433022212440 its reverse (4421222033443), we get a palindrome (38854244245883).

The spelling of 34433022212440 in words is "thirty-four trillion, four hundred thirty-three billion, twenty-two million, two hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 241 460 482 920 964 1205 1928 2410 4820 5543 9640 11086 22172 27715 44344 55430 110860 221720 155299577 310599154 621198308 776497885 1242396616 1552995770 3105991540 3571890271 6211983080 7143780542 14287561084 17859451355 28575122168 35718902710 37427198057 71437805420 74854396114 142875610840 149708792228 187135990285 299417584456 374271980570 748543961140 860825555311 1497087922280 1721651110622 3443302221244 4304127776555 6886604442488 8608255553110 17216511106220 34433022212440