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38140341431072 = 2513168322435939
BaseRepresentation
bin10001010110000001111011…
…00000001010101100100000
312000001011212222020112110212
420223000331200022230200
514444342404401243242
6213041233031113252
711014356134032556
oct1053007540125440
9160034788215425
1038140341431072
111117525646a671
12433ba2b212828
13183880756b1ca
1495c006733bd6
154621b7905782
hex22b03d80ab20

38140341431072 has 96 divisors (see below), whose sum is σ = 75819319107840. Its totient is φ = 18885283605760.

The previous prime is 38140341431063. The next prime is 38140341431141. The reversal of 38140341431072 is 27013414304183.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6422011079 + ... + 6422017017.

It is an arithmetic number, because the mean of its divisors is an integer number (789784574040).

Almost surely, 238140341431072 is an apocalyptic number.

38140341431072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38140341431072 is a deficient number, since it is larger than the sum of its proper divisors (37678977676768).

38140341431072 is a wasteful number, since it uses less digits than its factorization.

38140341431072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9006 (or 8998 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 38140341431072 in words is "thirty-eight trillion, one hundred forty billion, three hundred forty-one million, four hundred thirty-one thousand, seventy-two".

Divisors: 1 2 4 8 16 32 131 262 524 683 1048 1366 2096 2243 2732 4192 4486 5464 5939 8972 10928 11878 17944 21856 23756 35888 47512 71776 89473 95024 178946 190048 293833 357892 587666 715784 778009 1175332 1431568 1531969 1556018 2350664 2863136 3063938 3112036 4056337 4701328 6127876 6224072 8112674 9402656 12255752 12448144 13321177 16225348 24511504 24896288 26642354 32450696 49023008 53284708 64901392 106569416 129802784 200687939 213138832 401375878 426277664 531380147 802751756 1062760294 1605503512 1745074187 2125520588 3211007024 3490148374 4251041176 6422014048 6980296748 8502082352 9098363891 13960593496 17004164704 18196727782 27921186992 36393455564 55842373984 72786911128 145573822256 291147644512 1191885669721 2383771339442 4767542678884 9535085357768 19070170715536 38140341431072