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139123032064 = 216312472
BaseRepresentation
bin1000000110010001100…
…0010000000000000000
3111022002201112021220021
42001210120100000000
54234410444011224
6143525013223224
713023412155322
oct2014430200000
9438081467807
10139123032064
1154002363155
1222b68031b14
1310171ca0b63
146a3ad89612
153943c441e4
hex2064610000

139123032064 has 153 divisors (see below), whose sum is σ = 293756456271. Its totient is φ = 65885306880.

The previous prime is 139123032031. The next prime is 139123032079. The reversal of 139123032064 is 460230321931.

The square root of 139123032064 is 372992.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2960064489 + ... + 2960064535.

Almost surely, 2139123032064 is an apocalyptic number.

139123032064 is the 372992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139123032064

139123032064 is an abundant number, since it is smaller than the sum of its proper divisors (154633424207).

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

139123032064 is an frugal number, since it uses more digits than its factorization.

139123032064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

Adding to 139123032064 its reverse (460230321931), we get a palindrome (599353353995).

The spelling of 139123032064 in words is "one hundred thirty-nine billion, one hundred twenty-three million, thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 31 32 47 62 64 94 124 128 188 248 256 376 496 512 752 961 992 1024 1457 1504 1922 1984 2048 2209 2914 3008 3844 3968 4096 4418 5828 6016 7688 7936 8192 8836 11656 12032 15376 15872 16384 17672 23312 24064 30752 31744 32768 35344 45167 46624 48128 61504 63488 65536 68479 70688 90334 93248 96256 123008 126976 136958 141376 180668 186496 192512 246016 253952 273916 282752 361336 372992 385024 492032 507904 547832 565504 722672 745984 770048 984064 1015808 1095664 1131008 1445344 1491968 1540096 1968128 2031616 2122849 2191328 2262016 2890688 2983936 3080192 3936256 4245698 4382656 4524032 5781376 5967872 7872512 8491396 8765312 9048064 11562752 11935744 15745024 16982792 17530624 18096128 23125504 23871488 31490048 33965584 35061248 36192256 46251008 47742976 62980096 67931168 70122496 72384512 92502016 95485952 135862336 140244992 144769024 185004032 271724672 280489984 370008064 543449344 560979968 740016128 1086898688 1121959936 1480032256 2173797376 2243919872 2960064512 4347594752 4487839744 8695189504 17390379008 34780758016 69561516032 139123032064