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34014445536 = 2531312704711
BaseRepresentation
bin11111101011011010…
…110011111111100000
310020210112011212101010
4133223122303333200
51024130144224121
623343115340520
72312624005461
oct375332637740
9106715155333
1034014445536
11134752a4415
126713451740
133290ca3966
14190967cd68
15d412a4376
hex7eb6b3fe0

34014445536 has 48 divisors (see below), whose sum is σ = 89969539968. Its totient is φ = 11251593600.

The previous prime is 34014445501. The next prime is 34014445547. The reversal of 34014445536 is 63554441043.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 34014445494 and 34014445503.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1339780 + ... + 1364931.

It is an arithmetic number, because the mean of its divisors is an integer number (1874365416).

Almost surely, 234014445536 is an apocalyptic number.

It is an amenable number.

34014445536 is an abundant number, since it is smaller than the sum of its proper divisors (55955094432).

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

34014445536 is a wasteful number, since it uses less digits than its factorization.

34014445536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704855 (or 2704847 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 34014445536 its reverse (63554441043), we get a palindrome (97568886579).

The spelling of 34014445536 in words is "thirty-four billion, fourteen million, four hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 2096 3144 4192 6288 12576 2704711 5409422 8114133 10818844 16228266 21637688 32456532 43275376 64913064 86550752 129826128 259652256 354317141 708634282 1062951423 1417268564 2125902846 2834537128 4251805692 5669074256 8503611384 11338148512 17007222768 34014445536