Search a number
-
+
32144314456430 = 251123711491200989
BaseRepresentation
bin1110100111100001011100…
…11100011101100101101110
311012210222002112122120202222
413103300232130131211232
513203123024000101210
6152210521051515342
76525231035466611
oct723605634354556
9135728075576688
1032144314456430
11a273366567a50
123731949a58b52
1314c2271376bb7
147d1b16476178
153ab232665655
hex1d3c2e71d96e

32144314456430 has 128 divisors (see below), whose sum is σ = 67240067328000. Its totient is φ = 10949167398400.

The previous prime is 32144314456411. The next prime is 32144314456459. The reversal of 32144314456430 is 3465441344123.

It is a Curzon number.

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, 26164376 + ... + 27365364.

It is an arithmetic number, because the mean of its divisors is an integer number (525313026000).

Almost surely, 232144314456430 is an apocalyptic number.

32144314456430 is an abundant number, since it is smaller than the sum of its proper divisors (35095752871570).

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

32144314456430 is a wasteful number, since it uses less digits than its factorization.

32144314456430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201250.

The product of its (nonzero) digits is 1658880, while the sum is 44.

The spelling of 32144314456430 in words is "thirty-two trillion, one hundred forty-four billion, three hundred fourteen million, four hundred fifty-six thousand, four hundred thirty".

Divisors: 1 2 5 10 11 22 23 46 55 71 110 115 142 149 230 253 298 355 506 710 745 781 1265 1490 1562 1633 1639 2530 3266 3278 3427 3905 6854 7810 8165 8195 10579 16330 16390 17135 17963 21158 34270 35926 37697 52895 75394 89815 105790 116369 179630 188485 232738 243317 376970 486634 581845 1163690 1200989 1216585 2401978 2433170 2676487 5352974 6004945 12009890 13210879 13382435 26421758 26764870 27622747 55245494 66054395 85270219 132108790 138113735 170540438 178947361 276227470 303850217 357894722 426351095 607700434 852702190 894736805 937972409 1519251085 1789473610 1875944818 1961215037 1968420971 3038502170 3922430074 3936841942 4115789303 4689862045 8231578606 9379724090 9806075185 9842104855 12705262631 19612150370 19684209710 20578946515 21573365407 25410525262 41157893030 43146730814 45273682333 63526313155 90547364666 107866827035 127052626310 139757888941 215733654070 226368411665 279515777882 292221040513 452736823330 584442081026 698789444705 1397578889410 1461105202565 2922210405130 3214431445643 6428862891286 16072157228215 32144314456430