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34124441484 = 22371939753857
BaseRepresentation
bin11111110001111110…
…011010011110001100
310021002012011020110010
4133301332122132030
51024341324111414
623402045113220
72315430652410
oct376176323614
9107065136403
1034124441484
11135213a2a61
126744258810
1332aaa07213
14191a112d40
15d4ac80959
hex7f1f9a78c

34124441484 has 96 divisors (see below), whose sum is σ = 96030968320. Its totient is φ = 9213253632.

The previous prime is 34124441473. The next prime is 34124441497. The reversal of 34124441484 is 48414442143.

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, 606684 + ... + 660540.

Almost surely, 234124441484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34124441484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48015484160).

34124441484 is an abundant number, since it is smaller than the sum of its proper divisors (61906526836).

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

34124441484 is a wasteful number, since it uses less digits than its factorization.

34124441484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54287 (or 54285 counting only the distinct ones).

The product of its digits is 196608, while the sum is 39.

The spelling of 34124441484 in words is "thirty-four billion, one hundred twenty-four million, four hundred forty-one thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 397 399 532 794 798 1191 1588 1596 2382 2779 4764 5558 7543 8337 11116 15086 16674 22629 30172 33348 45258 52801 53857 90516 105602 107714 158403 161571 211204 215428 316806 323142 376999 633612 646284 753998 1023283 1130997 1507996 2046566 2261994 3069849 4093132 4523988 6139698 7162981 12279396 14325962 21381229 21488943 28651924 42762458 42977886 64143687 85524916 85955772 128287374 149668603 256574748 299337206 406243351 449005809 598674412 812486702 898011618 1218730053 1624973404 1796023236 2437460106 2843703457 4874920212 5687406914 8531110371 11374813828 17062220742 34124441484