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434301340144 = 24724339127669
BaseRepresentation
bin1100101000111100110…
…00001000100111110000
31112112000012120222210011
412110132120020213300
524103422120341034
6531303144544304
743243251324100
oct6243630104760
91475005528704
10434301340144
111582058699a1
1270206782094
1331c53ba1909
141703d9a3200
15b46ce6d864
hex651e6089f0

434301340144 has 60 divisors (see below), whose sum is σ = 979073142600. Its totient is φ = 186084791424.

The previous prime is 434301340139. The next prime is 434301340153. The reversal of 434301340144 is 441043103434.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3337942 + ... + 3465610.

It is an arithmetic number, because the mean of its divisors is an integer number (16317885710).

Almost surely, 2434301340144 is an apocalyptic number.

It is an amenable number.

434301340144 is an abundant number, since it is smaller than the sum of its proper divisors (544771802456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434301340144 is a wasteful number, since it uses less digits than its factorization.

434301340144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132030 (or 132017 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 434301340144 its reverse (441043103434), we get a palindrome (875344443578).

The spelling of 434301340144 in words is "four hundred thirty-four billion, three hundred one million, three hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 4339 8678 17356 30373 34712 60746 69424 121492 127669 212611 242984 255338 425222 485968 510676 850444 893683 1021352 1700888 1787366 2042704 3401776 3574732 6255781 7149464 12511562 14298928 25023124 50046248 100092496 553955791 1107911582 2215823164 3877690537 4431646328 7755381074 8863292656 15510762148 27143833759 31021524296 54287667518 62043048592 108575335036 217150670072 434301340144