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314524222425413 = 71121343743894067
BaseRepresentation
bin100011110000011101110000…
…0100011010000100101000101
31112020122012222211211221212022
41013200323200203100211011
5312211131101420103123
63032534233313132525
7123151424303215220
oct10740734043204505
91466565884757768
10314524222425413
1191242a78a25300
122b338a9985a145
13106666788ac520
1457950a70a25b7
15265676bb6a1c8
hex11e0ee08d0945

314524222425413 has 96 divisors (see below), whose sum is σ = 435979256875008. Its totient is φ = 220672368766080.

The previous prime is 314524222425389. The next prime is 314524222425449.

314524222425413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314524222425413 - 26 = 314524222425349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314524222425013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 351343406 + ... + 352237472.

It is an arithmetic number, because the mean of its divisors is an integer number (4541450592448).

Almost surely, 2314524222425413 is an apocalyptic number.

It is an amenable number.

314524222425413 is a deficient number, since it is larger than the sum of its proper divisors (121455034449595).

314524222425413 is a wasteful number, since it uses less digits than its factorization.

314524222425413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894895 (or 894884 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 44.

The spelling of 314524222425413 in words is "three hundred fourteen trillion, five hundred twenty-four billion, two hundred twenty-two million, four hundred twenty-five thousand, four hundred thirteen".

Divisors: 1 7 11 13 43 77 91 121 143 301 473 559 743 847 1001 1573 3311 3913 5201 5203 6149 8173 9659 11011 31949 36421 43043 57211 67613 67639 89903 106249 223643 351439 415337 473473 629321 743743 894067 1168739 2460073 2907359 3865829 4568707 6258469 8181173 9834737 11622871 27060803 31980949 38444881 50255777 68843159 81360097 108182107 127851581 269114167 351790439 422893691 499783453 664291781 757274749 894961067 1406367391 2960255837 3498484171 4650042467 4651830601 5497617983 7307209591 8635793153 9844571737 28564546583 32562814207 38483325881 51150467137 60450552071 60473797813 80379305501 94993724683 199951826081 314210012413 371339105579 423316584691 562655138507 664956072781 1044930971513 2199470086891 2599373739053 3456310136543 4084730161369 7314516800591 24194170955801 28593111129583 44932031775059 314524222425413