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4344141240 = 2333517236609
BaseRepresentation
bin1000000101110111…
…00101010110111000
3102012202021020111000
410002323211112320
532344100004430
61555022005000
7212436406545
oct40273452670
912182236430
104344141240
11192a17767a
12a12a16760
13543005c9a
142d2d37bcc
151a65a2e60
hex102ee55b8

4344141240 has 128 divisors (see below), whose sum is σ = 15332328000. Its totient is φ = 1090289664.

The previous prime is 4344141211. The next prime is 4344141253. The reversal of 4344141240 is 421414434.

4344141240 is a `hidden beast` number, since 4 + 3 + 4 + 414 + 1 + 240 = 666.

It is a super-2 number, since 2×43441412402 = 37743126226137475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99945 + ... + 136664.

Almost surely, 24344141240 is an apocalyptic number.

4344141240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4344141240 is an abundant number, since it is smaller than the sum of its proper divisors (10988186760).

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

4344141240 is a wasteful number, since it uses less digits than its factorization.

4344141240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236646 (or 236636 counting only the distinct ones).

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

The square root of 4344141240 is about 65910.0996813083. The cubic root of 4344141240 is about 1631.6787051326.

Adding to 4344141240 its reverse (421414434), we get a palindrome (4765555674).

It can be divided in two parts, 43441 and 41240, that added together give a square (84681 = 2912).

The spelling of 4344141240 in words is "four billion, three hundred forty-four million, one hundred forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 3060 3672 4590 6120 9180 18360 236609 473218 709827 946436 1183045 1419654 1892872 2129481 2366090 2839308 3549135 4022353 4258962 4732180 5678616 6388443 7098270 8044706 8517924 9464360 10647405 12067059 12776886 14196540 16089412 17035848 20111765 21294810 24134118 25553772 28393080 31942215 32178824 36201177 40223530 42589620 48268236 51107544 60335295 63884430 72402354 80447060 85179240 96536472 108603531 120670590 127768860 144804708 160894120 181005885 217207062 241341180 255537720 289609416 362011770 434414124 482682360 543017655 724023540 868828248 1086035310 1448047080 2172070620 4344141240