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14540630080 = 265196913461
BaseRepresentation
bin11011000101011000…
…00110100001000000
31101112100202112121211
431202230012201000
5214234400130310
610402504055504
71023221213344
oct154254064100
941470675554
1014540630080
116191896659
122999764594
1314a961b532
149bd207624
155a1824c8a
hex362b06840

14540630080 has 112 divisors (see below), whose sum is σ = 36510528960. Its totient is φ = 5500569600.

The previous prime is 14540630057. The next prime is 14540630081. The reversal of 14540630080 is 8003604541.

It is a happy number.

It is a super-2 number, since 2×145406300802 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14540630081) 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, 4199550 + ... + 4203010.

Almost surely, 214540630080 is an apocalyptic number.

14540630080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14540630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18255264480).

14540630080 is an abundant number, since it is smaller than the sum of its proper divisors (21969898880).

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

14540630080 is a wasteful number, since it uses less digits than its factorization.

14540630080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 14540630080 in words is "fourteen billion, five hundred forty million, six hundred thirty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 691 760 1216 1382 1520 2764 3040 3455 3461 5528 6080 6910 6922 11056 13129 13820 13844 17305 22112 26258 27640 27688 34610 44224 52516 55280 55376 65645 65759 69220 105032 110560 110752 131290 131518 138440 210064 221120 221504 262580 263036 276880 328795 420128 525160 526072 553760 657590 840256 1050320 1052144 1107520 1315180 2100640 2104288 2391551 2630360 4201280 4208576 4783102 5260720 9566204 10521440 11957755 19132408 21042880 23915510 38264816 45439469 47831020 76529632 90878938 95662040 153059264 181757876 191324080 227197345 363515752 382648160 454394690 727031504 765296320 908789380 1454063008 1817578760 2908126016 3635157520 7270315040 14540630080