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14530040512 = 2613411932207
BaseRepresentation
bin11011000100000111…
…01101001011000000
31101111121211112110121
431202003231023000
5214224142244022
610401445110024
71023032210101
oct154203551300
941447745417
1014530040512
116186913549
1229960b8314
1314a7381510
149bba4c3a8
155a09322c7
hex3620ed2c0

14530040512 has 112 divisors (see below), whose sum is σ = 31987613952. Its totient is φ = 6505758720.

The previous prime is 14530040501. The next prime is 14530040513. The reversal of 14530040512 is 21504003541.

It is a happy number.

It is a super-2 number, since 2×145300405122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14530040513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6582513 + ... + 6584719.

It is an arithmetic number, because the mean of its divisors is an integer number (285603696).

Almost surely, 214530040512 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 14530040512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15993806976).

14530040512 is an abundant number, since it is smaller than the sum of its proper divisors (17457573440).

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

14530040512 is a wasteful number, since it uses less digits than its factorization.

14530040512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 14530040512 in words is "fourteen billion, five hundred thirty million, forty thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 164 193 208 328 386 416 533 656 772 832 1066 1312 1544 2132 2207 2509 2624 3088 4264 4414 5018 6176 7913 8528 8828 10036 12352 15826 17056 17656 20072 28691 31652 34112 35312 40144 57382 63304 70624 80288 90487 102869 114764 126608 141248 160576 180974 205738 229528 253216 361948 411476 425951 459056 506432 723896 822952 851902 918112 1176331 1447792 1645904 1703804 1836224 2352662 2895584 3291808 3407608 4705324 5537363 5791168 6583616 6815216 9410648 11074726 13630432 17463991 18821296 22149452 27260864 34927982 37642592 44298904 69855964 75285184 88597808 139711928 177195616 227031883 279423856 354391232 454063766 558847712 908127532 1117695424 1816255064 3632510128 7265020256 14530040512