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34001241512 = 237315977759
BaseRepresentation
bin11111101010101000…
…011100010110101000
310020202121100000212012
4133222220130112220
51024113304212022
623341524335052
72312403533000
oct375250342650
9106677300765
1034001241512
11134688a5aa7
12670ab44488
13328b32c924
141907a03000
15d40046de2
hex7eaa1c5a8

34001241512 has 64 divisors (see below), whose sum is σ = 74402880000. Its totient is φ = 14560959168.

The previous prime is 34001241509. The next prime is 34001241541. The reversal of 34001241512 is 21514210043.

It is a super-2 number, since 2×340012415122 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4378289 + ... + 4386047.

It is an arithmetic number, because the mean of its divisors is an integer number (1162545000).

Almost surely, 234001241512 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 34001241512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37201440000).

34001241512 is an abundant number, since it is smaller than the sum of its proper divisors (40401638488).

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

34001241512 is a wasteful number, since it uses less digits than its factorization.

34001241512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9383 (or 9365 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 34001241512 its reverse (21514210043), we get a palindrome (55515451555).

The spelling of 34001241512 in words is "thirty-four billion, one million, two hundred forty-one thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1372 1597 2744 3194 6388 7759 11179 12776 15518 22358 31036 44716 54313 62072 78253 89432 108626 156506 217252 313012 380191 434504 547771 626024 760382 1095542 1520764 2191084 2661337 3041528 4382168 5322674 10645348 12391123 21290696 24782246 49564492 86737861 99128984 173475722 346951444 607165027 693902888 1214330054 2428660108 4250155189 4857320216 8500310378 17000620756 34001241512