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1434033244440 = 2332521101188779
BaseRepresentation
bin10100110111100011000…
…010101100100100011000
312002002111020112202002200
4110313203002230210120
5141443400002310230
63014441421130200
7205414452313026
oct24674302544430
95062436482080
101434033244440
11503196421595
121b1b129b9960
13a52c8760334
144d59c57d716
1527480dc9160
hex14de30ac918

1434033244440 has 96 divisors (see below), whose sum is σ = 4660853605200. Its totient is φ = 382388716800.

The previous prime is 1434033244433. The next prime is 1434033244447. The reversal of 1434033244440 is 444423304341.

1434033244440 is a `hidden beast` number, since 1 + 4 + 3 + 403 + 3 + 244 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1434033244433) and next prime (1434033244447).

It is a super-2 number, since 2×14340332444402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1434033244395 and 1434033244404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434033244447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7501971 + ... + 7690749.

Almost surely, 21434033244440 is an apocalyptic number.

1434033244440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1434033244440 is an abundant number, since it is smaller than the sum of its proper divisors (3226820360760).

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

1434033244440 is a wasteful number, since it uses less digits than its factorization.

1434033244440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209897 (or 209890 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 1434033244440 its reverse (444423304341), we get a palindrome (1878456548781).

The spelling of 1434033244440 in words is "one trillion, four hundred thirty-four billion, thirty-three million, two hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 21101 42202 63303 84404 105505 126606 168808 188779 189909 211010 253212 316515 377558 379818 422020 506424 566337 633030 755116 759636 844040 943895 949545 1132674 1266060 1510232 1519272 1699011 1887790 1899090 2265348 2532120 2831685 3398022 3775580 3798180 4530696 5663370 6796044 7551160 7596360 8495055 11326740 13592088 16990110 22653480 33980220 67960440 3983425679 7966851358 11950277037 15933702716 19917128395 23900554074 31867405432 35850831111 39834256790 47801108148 59751385185 71701662222 79668513580 95602216296 119502770370 143403324444 159337027160 179254155555 239005540740 286806648888 358508311110 478011081480 717016622220 1434033244440