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314642401555141 = 11197320622822413
BaseRepresentation
bin100011110001010100110010…
…0100100110111001011000101
31112021001112000221201202221001
41013202221210210313023011
5312220100114244231031
63033104420202053301
7123163110012231022
oct10742514444671305
91467045027652831
10314642401555141
1191289102a70660
122b35797b7aa231
131067486077a25a
14579aab865c549
152659886d43861
hex11e2a649372c5

314642401555141 has 16 divisors (see below), whose sum is σ = 366261326072640. Its totient is φ = 267271778459520.

The previous prime is 314642401555117. The next prime is 314642401555147. The reversal of 314642401555141 is 141555104246413.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 314642401555141 - 211 = 314642401553093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314642401555091 and 314642401555100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314642401555147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10311395950 + ... + 10311426463.

It is an arithmetic number, because the mean of its divisors is an integer number (22891332879540).

Almost surely, 2314642401555141 is an apocalyptic number.

It is an amenable number.

314642401555141 is a deficient number, since it is larger than the sum of its proper divisors (51618924517499).

314642401555141 is a wasteful number, since it uses less digits than its factorization.

314642401555141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20622822516.

The product of its (nonzero) digits is 1152000, while the sum is 46.

The spelling of 314642401555141 in words is "three hundred fourteen trillion, six hundred forty-two billion, four hundred one million, five hundred fifty-five thousand, one hundred forty-one".

Divisors: 1 11 19 73 209 803 1387 15257 20622822413 226851046543 391833625847 1505466036149 4310169884317 16560126397639 28603854686831 314642401555141