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34144141153390 = 2547409443547733
BaseRepresentation
bin1111100001101110011010…
…11001111001010001101110
311110220010222220101201122221
413300313031121321101232
513433404200113402030
6200341334002225554
710122555435111202
oct760671531712156
9143803886351587
1034144141153390
11a9744a35aa684
1239b54439552ba
131608a17a40698
14860829cd2b02
153e327a30de7a
hex1f0dcd67946e

34144141153390 has 128 divisors (see below), whose sum is σ = 63264078673920. Its totient is φ = 13261845961728.

The previous prime is 34144141153351. The next prime is 34144141153427. The reversal of 34144141153390 is 9335114144143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46581365464 + ... + 46581366196.

It is an arithmetic number, because the mean of its divisors is an integer number (494250614640).

Almost surely, 234144141153390 is an apocalyptic number.

34144141153390 is a deficient number, since it is larger than the sum of its proper divisors (29119937520530).

34144141153390 is a wasteful number, since it uses less digits than its factorization.

34144141153390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186.

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 34144141153390 in words is "thirty-four trillion, one hundred forty-four billion, one hundred forty-one million, one hundred fifty-three thousand, three hundred ninety".

Divisors: 1 2 5 10 47 94 235 409 443 470 547 733 818 886 1094 1466 2045 2215 2735 3665 4090 4430 5470 7330 19223 20821 25709 34451 38446 41642 51418 68902 96115 104105 128545 172255 181187 192230 208210 223723 242321 257090 299797 324719 344510 362374 400951 447446 484642 599594 649438 801902 905935 1118615 1211605 1498985 1623595 1811870 2004755 2237230 2423210 2997970 3247190 4009510 8515789 10514981 11389087 14090459 15261793 17031578 18844697 21029962 22778174 28180918 30523586 37689394 42578945 52574905 56945435 70452295 76308965 85157890 94223485 99109289 105149810 113890870 132810071 140904590 152617930 163988959 177621293 188446970 198218578 265620142 327977918 355242586 495546445 664050355 819944795 888106465 991092890 1328100710 1639889590 1776212930 4658136583 6242073337 7707481073 8348200771 9316273166 12484146674 15414962146 16696401542 23290682915 31210366685 38537405365 41741003855 46581365830 62420733370 72647108837 77074810730 83482007710 145294217674 363235544185 726471088370 3414414115339 6828828230678 17072070576695 34144141153390