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102405711411447 = 31979139197830503
BaseRepresentation
bin10111010010001100110000…
…000011010011100011110111
3111102120220001002202111211220
4113102030300003103203313
5101410303344110131242
61001444311231201423
730366365664555543
oct2722146003234367
9442526032674756
10102405711411447
112a6a2022420304
12b59aab5676273
13451aa81380742
141b4066a1d0a23
15bc8c1a7c5bec
hex5d23300d38f7

102405711411447 has 64 divisors (see below), whose sum is σ = 147338053632000. Its totient is φ = 63077278013568.

The previous prime is 102405711411389. The next prime is 102405711411473. The reversal of 102405711411447 is 744114117504201.

It is not a de Polignac number, because 102405711411447 - 26 = 102405711411383 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102405711411399 and 102405711411408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102405711411947) 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 63 ways as a sum of consecutive naturals, for example, 122890398 + ... + 123720900.

It is an arithmetic number, because the mean of its divisors is an integer number (2302157088000).

Almost surely, 2102405711411447 is an apocalyptic number.

102405711411447 is a deficient number, since it is larger than the sum of its proper divisors (44932342220553).

102405711411447 is a wasteful number, since it uses less digits than its factorization.

102405711411447 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830940.

The product of its (nonzero) digits is 125440, while the sum is 42.

Adding to 102405711411447 its reverse (744114117504201), we get a palindrome (846519828915648).

The spelling of 102405711411447 in words is "one hundred two trillion, four hundred five billion, seven hundred eleven million, four hundred eleven thousand, four hundred forty-seven".

Divisors: 1 3 19 57 79 139 197 237 417 591 1501 2641 3743 4503 7923 10981 11229 15563 27383 32943 46689 82149 208639 295697 520277 625917 830503 887091 1560831 2163257 2491509 6489771 15779557 41101883 47338671 65609737 115439917 123305649 163609091 196829211 346319751 490827273 1246585003 2193358423 3108572729 3739755009 6580075269 9119753443 9325718187 12925118189 22741663649 27359260329 38775354567 68224990947 173275315417 245577245591 432091609331 519825946251 736731736773 1296274827993 1796591428271 5389774284813 34135237137149 102405711411447