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344042465410553 = 72132233317317113
BaseRepresentation
bin100111000111001111010000…
…0111100000011110111111001
31200010011010201221201200002012
41032032132200330003313321
5330043242432121114203
63215414532055415305
7132316151005554500
oct11616364074036771
91603133657650065
10344042465410553
119a693654612688
1232705899684535
13119c80b0558a70
1460d5a5c027837
1529b95026b4bd8
hex138e7a0f03df9

344042465410553 has 48 divisors (see below), whose sum is σ = 434238988893696. Its totient is φ = 270170019060480.

The previous prime is 344042465410513. The next prime is 344042465410583. The reversal of 344042465410553 is 355014564240443.

It is not a de Polignac number, because 344042465410553 - 212 = 344042465406457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (344042465410513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43360325 + ... + 50677437.

It is an arithmetic number, because the mean of its divisors is an integer number (9046645601952).

Almost surely, 2344042465410553 is an apocalyptic number.

It is an amenable number.

344042465410553 is a deficient number, since it is larger than the sum of its proper divisors (90196523483143).

344042465410553 is a wasteful number, since it uses less digits than its factorization.

344042465410553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7317694 (or 7317687 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 50.

The spelling of 344042465410553 in words is "three hundred forty-four trillion, forty-two billion, four hundred sixty-five million, four hundred ten thousand, five hundred fifty-three".

Divisors: 1 7 13 49 91 223 331 637 1561 2317 2899 4303 10927 16219 20293 30121 73813 142051 210847 516691 959569 3616837 6716983 7317113 47018881 51219791 95122469 358538537 665857283 1631716199 2421964403 4661000981 11422013393 16953750821 21212310587 31485537239 79954093751 118676255747 148486174109 220398760673 540098061869 1039403218763 1542791324711 3780686433083 7021274804297 26464805031581 49148923630079 344042465410553