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34044255040 = 265499213203
BaseRepresentation
bin11111101101001100…
…100001101101000000
310020212121021100022211
4133231030201231000
51024210312130130
623350102311504
72313435251605
oct375514415500
9106777240284
1034044255040
1113490104774
126721428594
133297210013
14190d5dc6ac
15d43be1a2a
hex7ed321b40

34044255040 has 56 divisors (see below), whose sum is σ = 81230724000. Its totient is φ = 13590348288.

The previous prime is 34044255019. The next prime is 34044255053. The reversal of 34044255040 is 4055244043.

It is a super-2 number, since 2×340442550402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34044254993 and 34044255011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53079 + ... + 266281.

Almost surely, 234044255040 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 34044255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40615362000).

34044255040 is an abundant number, since it is smaller than the sum of its proper divisors (47186468960).

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

34044255040 is a wasteful number, since it uses less digits than its factorization.

34044255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213719 (or 213709 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 31.

Adding to 34044255040 its reverse (4055244043), we get a palindrome (38099499083).

The spelling of 34044255040 in words is "thirty-four billion, forty-four million, two hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 499 998 1996 2495 3992 4990 7984 9980 15968 19960 31936 39920 79840 159680 213203 426406 852812 1066015 1705624 2132030 3411248 4264060 6822496 8528120 13644992 17056240 34112480 68224960 106388297 212776594 425553188 531941485 851106376 1063882970 1702212752 2127765940 3404425504 4255531880 6808851008 8511063760 17022127520 34044255040