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34154445144 = 23319372024327
BaseRepresentation
bin11111110011110000…
…110111100101011000
310021011021121120201210
4133303300313211120
51024422014221034
623405040143120
72316243664551
oct376360674530
9107137546653
1034154445144
1113537326176
126752307aa0
1332b3cb0a71
1419200c3328
15d4d70a8e9
hex7f3c37958

34154445144 has 64 divisors (see below), whose sum is σ = 92309356800. Its totient is φ = 10494105984.

The previous prime is 34154445113. The next prime is 34154445167. The reversal of 34154445144 is 44154445143.

It is a super-2 number, since 2×341544451442 (a number of 22 digits) contains 22 as substring.

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, 995292 + ... + 1029035.

It is an arithmetic number, because the mean of its divisors is an integer number (1442333700).

Almost surely, 234154445144 is an apocalyptic number.

It is an amenable number.

34154445144 is an abundant number, since it is smaller than the sum of its proper divisors (58154911656).

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

34154445144 is a wasteful number, since it uses less digits than its factorization.

34154445144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024392 (or 2024388 counting only the distinct ones).

The product of its digits is 307200, while the sum is 39.

Subtracting 34154445144 from its reverse (44154445143), we obtain a palindrome (9999999999).

The spelling of 34154445144 in words is "thirty-four billion, one hundred fifty-four million, four hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 111 114 148 152 222 228 296 444 456 703 888 1406 2109 2812 4218 5624 8436 16872 2024327 4048654 6072981 8097308 12145962 16194616 24291924 38462213 48583848 74900099 76924426 115386639 149800198 153848852 224700297 230773278 299600396 307697704 449400594 461546556 599200792 898801188 923093112 1423101881 1797602376 2846203762 4269305643 5692407524 8538611286 11384815048 17077222572 34154445144