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314728037013 = 313219313073433
BaseRepresentation
bin1001001010001110100…
…00001011101010010101
31010002100221022211100110
410211013100023222111
520124030334141023
6400330054033233
731511153113635
oct4450720135225
91102327284313
10314728037013
11111525854515
1250bb5948819
13238a9215500
14113391b06c5
1582c06a1a93
hex494740ba95

314728037013 has 96 divisors (see below), whose sum is σ = 495498178560. Its totient is φ = 176936348160.

The previous prime is 314728036967. The next prime is 314728037023. The reversal of 314728037013 is 310730827413.

It is not a de Polignac number, because 314728037013 - 26 = 314728036949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314728037023) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 91675545 + ... + 91678977.

It is an arithmetic number, because the mean of its divisors is an integer number (5161439360).

Almost surely, 2314728037013 is an apocalyptic number.

It is an amenable number.

314728037013 is a deficient number, since it is larger than the sum of its proper divisors (180770141547).

314728037013 is a wasteful number, since it uses less digits than its factorization.

314728037013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819 (or 3806 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 314728037013 in words is "three hundred fourteen billion, seven hundred twenty-eight million, thirty-seven thousand, thirteen".

Divisors: 1 3 13 19 31 39 57 93 169 247 307 403 507 589 741 921 1209 1767 3211 3433 3991 5239 5833 7657 9517 9633 10299 11973 15717 17499 22971 28551 44629 51883 65227 75829 99541 106423 123721 133887 155649 180823 195681 227487 298623 319269 371163 542469 580177 847951 985777 1053931 1383499 1608373 1740531 2022037 2350699 2543853 2957331 3161793 4150497 4825119 6066111 7052097 11023363 13701103 17985487 20024689 26286481 30559087 32671861 33070089 41103309 53956461 60074067 78859443 91677261 98015583 178114339 260320957 341724253 424734193 534343017 620765359 780962871 1025172759 1274202579 1862296077 3384172441 5521544509 8069949667 10152517323 16564633527 24209849001 104909345671 314728037013