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1145034435424 = 251123141432119
BaseRepresentation
bin10000101010011001010…
…111101110101101100000
311001110112102022010022111
4100222121113232231200
5122230012303413144
62234004353445104
7145504010053435
oct20523127565540
94043472263274
101145034435424
114016740a6970
12165ab9870794
1383c8cb851b9
143d5c453bb8c
151ebb9442534
hex10a995eeb60

1145034435424 has 48 divisors (see below), whose sum is σ = 2566144385280. Its totient is φ = 497841055360.

The previous prime is 1145034435403. The next prime is 1145034435469. The reversal of 1145034435424 is 4245344305411.

It is a super-2 number, since 2×11450344354242 (a number of 25 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 7 ways as a sum of consecutive naturals, for example, 70707964 + ... + 70724155.

It is an arithmetic number, because the mean of its divisors is an integer number (53461341360).

Almost surely, 21145034435424 is an apocalyptic number.

It is an amenable number.

1145034435424 is an abundant number, since it is smaller than the sum of its proper divisors (1421109949856).

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

1145034435424 is a wasteful number, since it uses less digits than its factorization.

1145034435424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141432163 (or 141432155 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 1145034435424 in words is "one trillion, one hundred forty-five billion, thirty-four million, four hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 4048 8096 141432119 282864238 565728476 1131456952 1555753309 2262913904 3111506618 3252938737 4525827808 6223013236 6505877474 12446026472 13011754948 24892052944 26023509896 35782326107 49784105888 52047019792 71564652214 104094039584 143129304428 286258608856 572517217712 1145034435424