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1034435145505 = 54761439164377
BaseRepresentation
bin11110000110110010010…
…00111010111100100001
310122220001120020001201111
433003121020322330201
5113422010344124010
62111113555103321
7134510160442156
oct17033110727441
93586046201644
101034435145505
11369779743433
121485922a1b41
137671547a998
14380d191822d
151bd9491c58a
hexf0d923af21

1034435145505 has 32 divisors (see below), whose sum is σ = 1291458769920. Its totient is φ = 794843435520.

The previous prime is 1034435145493. The next prime is 1034435145511. The reversal of 1034435145505 is 5055415344301.

1034435145505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-1034435145505 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6210877 + ... + 6375253.

It is an arithmetic number, because the mean of its divisors is an integer number (40358086560).

Almost surely, 21034435145505 is an apocalyptic number.

It is an amenable number.

1034435145505 is a deficient number, since it is larger than the sum of its proper divisors (257023624415).

1034435145505 is a wasteful number, since it uses less digits than its factorization.

1034435145505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164929.

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 1034435145505 in words is "one trillion, thirty-four billion, four hundred thirty-five million, one hundred forty-five thousand, five hundred five".

Divisors: 1 5 47 61 235 305 439 2195 2867 14335 20633 26779 103165 133895 164377 821885 1258613 6293065 7725719 10026997 38628595 50134985 72161503 360807515 471268859 2356344295 3391590641 4401851683 16957953205 22009258415 206887029101 1034435145505