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139311399150625 = 5413223215792
BaseRepresentation
bin11111101011001111110110…
…011101011010010000100001
3200021021001001221020222211011
4133223033312131122100201
5121224434221140310000
61212142435005020521
741225626224451612
oct3753176635322041
9607231057228734
10139311399150625
11404306a5a86199
121375b595854741
135c97015aa2c00
1426589c9cb9c09
151118c2106a2ba
hex7eb3f675a421

139311399150625 has 135 divisors (see below), whose sum is σ = 197181717885999. Its totient is φ = 98340915816000.

The previous prime is 139311399150607. The next prime is 139311399150709. The reversal of 139311399150625 is 526051993113931.

The square root of 139311399150625 is 11803025.

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

It can be written as a sum of positive squares in 7 ways, for example, as 137602073012881 + 1709326137744 = 11730391^2 + 1307412^2 .

It is not a de Polignac number, because 139311399150625 - 235 = 139277039412257 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 139311399150625.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 88227611086 + ... + 88227612664.

Almost surely, 2139311399150625 is an apocalyptic number.

139311399150625 is the 11803025-th square number.

139311399150625 is the 5901513-rd centered octagonal number.

It is an amenable number.

139311399150625 is a deficient number, since it is larger than the sum of its proper divisors (57870318735374).

139311399150625 is an frugal number, since it uses more digits than its factorization.

139311399150625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 5904900, while the sum is 58.

The spelling of 139311399150625 in words is "one hundred thirty-nine trillion, three hundred eleven billion, three hundred ninety-nine million, one hundred fifty thousand, six hundred twenty-five".

Divisors: 1 5 13 23 25 65 115 125 169 299 325 529 575 625 845 1495 1579 1625 2645 2875 3887 4225 6877 7475 7895 8125 13225 14375 19435 20527 21125 34385 36317 37375 39475 66125 89401 97175 102635 105625 171925 181585 186875 197375 266851 330625 447005 472121 485875 513175 835291 859625 907925 986875 1334255 2235025 2360605 2429375 2493241 2565875 4176455 4298125 4539625 6137573 6671275 10858783 11175125 11803025 12466205 12829375 20882275 22698125 30687865 32412133 33356375 54293915 55875625 57344543 59015125 62331025 104411375 141164179 153439325 162060665 166781875 271469575 286722715 295075625 311655125 421357729 522056875 705820895 745479059 767196625 810303325 1318924489 1357347875 1433613575 1558275625 2106788645 3529104475 3727395295 3835983125 4051516625 6594622445 6786739375 7168067875 9691227767 10533943225 17146018357 17645522375 18636976475 20257583125 32973112225 35840339375 48456138835 52669716125 85730091785 88227611875 93184882375 164865561125 222898238641 242280694175 263348580625 428650458925 465924411875 824327805625 1114491193205 1211403470875 2143252294625 5572455966025 6057017354375 10716261473125 27862279830125 139311399150625