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32140113222224 = 2475356914296659
BaseRepresentation
bin1110100111011001101000…
…00010000001101001010000
311012210120020202021202220002
413103230310002001221100
513203040422441102344
6152204544132505132
76525021652545440
oct723546402015120
9135716222252802
1032140113222224
11a271600028567
123730b76a7b1a8
1314c1a51b584b7
147d18384dc120
153ab0888e044e
hex1d3b34081a50

32140113222224 has 160 divisors (see below), whose sum is σ = 72699355872000. Its totient is φ = 13479224758272.

The previous prime is 32140113222223. The next prime is 32140113222253. The reversal of 32140113222224 is 42222231104123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32140113222221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4826564207 + ... + 4826570865.

It is an arithmetic number, because the mean of its divisors is an integer number (454370974200).

Almost surely, 232140113222224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32140113222224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36349677936000).

32140113222224 is an abundant number, since it is smaller than the sum of its proper divisors (40559242649776).

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

32140113222224 is a wasteful number, since it uses less digits than its factorization.

32140113222224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8725 (or 8719 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 32140113222224 its reverse (42222231104123), we get a palindrome (74362344326347).

The spelling of 32140113222224 in words is "thirty-two trillion, one hundred forty billion, one hundred thirteen million, two hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 569 742 848 1138 1429 1484 2276 2858 2968 3983 4552 5716 5936 6659 7966 9104 10003 11432 13318 15932 20006 22864 26636 30157 31864 40012 46613 53272 60314 63728 75737 80024 93226 106544 120628 151474 160048 186452 211099 241256 302948 352927 372904 422198 482512 530159 605896 705854 745808 813101 844396 1060318 1211792 1411708 1626202 1688792 2120636 2470489 2823416 3252404 3377584 3788971 4241272 4940978 5646832 5691707 6504808 7577942 8482544 9515711 9881956 11383414 13009616 15155884 19031422 19763912 22766828 26522797 30311768 38062844 39527824 43094353 45533656 53045594 60623536 66609977 76125688 86188706 91067312 106091188 133219954 152251376 172377412 200815463 212182376 266439908 301660471 344754824 401630926 424364752 504332683 532879816 603320942 689509648 803261852 1008665366 1065759632 1206641884 1405708241 1606523704 2017330732 2413283768 2811416482 3213047408 3530328781 4034661464 4826567536 5414439559 5622832964 7060657562 8069322928 10828879118 11245665928 14121315124 21657758236 22491331856 28242630248 37901076913 43315516472 56485260496 75802153826 86631032944 151604307652 286965296627 303208615304 573930593254 606417230608 1147861186508 2008757076389 2295722373016 4017514152778 4591444746032 8035028305556 16070056611112 32140113222224