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34036125156 = 22341167142537
BaseRepresentation
bin11111101100101101…
…100000110111100100
310020212000222022020000
4133230231200313210
51024201222001111
623345212141300
72313306201405
oct375455406744
9106760868200
1034036125156
1113486561660
12671a767830
133295624737
14190c4c39ac
15d43137c56
hex7ecb60de4

34036125156 has 120 divisors (see below), whose sum is σ = 98515423776. Its totient is φ = 10159966080.

The previous prime is 34036125139. The next prime is 34036125191. The reversal of 34036125156 is 65152163043.

34036125156 is a `hidden beast` number, since 3 + 40 + 361 + 251 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34036125156.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167520 + ... + 310056.

Almost surely, 234036125156 is an apocalyptic number.

34036125156 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34036125156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49257711888).

34036125156 is an abundant number, since it is smaller than the sum of its proper divisors (64479298620).

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

34036125156 is a wasteful number, since it uses less digits than its factorization.

34036125156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142631 (or 142620 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 34036125156 its reverse (65152163043), we get a palindrome (99188288199).

The spelling of 34036125156 in words is "thirty-four billion, thirty-six million, one hundred twenty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 67 81 99 108 132 134 162 198 201 268 297 324 396 402 594 603 737 804 891 1188 1206 1474 1782 1809 2211 2412 2948 3564 3618 4422 5427 6633 7236 8844 10854 13266 19899 21708 26532 39798 59697 79596 119394 142537 238788 285074 427611 570148 855222 1282833 1567907 1710444 2565666 3135814 3848499 4703721 5131332 6271628 7696998 9407442 9549979 11545497 14111163 15393996 18814884 19099958 23090994 28222326 28649937 38199916 42333489 46181988 56444652 57299874 84666978 85949811 105049769 114599748 127000467 169333956 171899622 210099538 254000934 257849433 315149307 343799244 420199076 508001868 515698866 630298614 773548299 945447921 1031397732 1260597228 1547096598 1890895842 2836343763 3094193196 3781791684 5672687526 8509031289 11345375052 17018062578 34036125156