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10144736730 = 2335234337991
BaseRepresentation
bin10010111001010110…
…00110010111011010
3222012000010000121000
421130223012113122
5131234023033410
64354352525430
7506252560632
oct113453062732
928160100530
1010144736730
114336491947
121b71550876
13c589957cb
146c347b6c2
153e594cdc0
hex25cac65da

10144736730 has 128 divisors (see below), whose sum is σ = 28886077440. Its totient is φ = 2527398720.

The previous prime is 10144736729. The next prime is 10144736741. The reversal of 10144736730 is 3763744101.

It is a super-2 number, since 2×101447367302 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248035 + ... + 286025.

It is an arithmetic number, because the mean of its divisors is an integer number (225672480).

Almost surely, 210144736730 is an apocalyptic number.

10144736730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10144736730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14443038720).

10144736730 is an abundant number, since it is smaller than the sum of its proper divisors (18741340710).

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

10144736730 is a wasteful number, since it uses less digits than its factorization.

10144736730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38073 (or 38067 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 10144736730 in words is "ten billion, one hundred forty-four million, seven hundred thirty-six thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 43 45 46 54 69 86 90 115 129 135 138 207 215 230 258 270 345 387 414 430 621 645 690 774 989 1035 1161 1242 1290 1935 1978 2070 2322 2967 3105 3870 4945 5805 5934 6210 8901 9890 11610 14835 17802 26703 29670 37991 44505 53406 75982 89010 113973 133515 189955 227946 267030 341919 379910 569865 683838 873793 1025757 1139730 1633613 1709595 1747586 2051514 2621379 3267226 3419190 4368965 4900839 5128785 5242758 7864137 8168065 8737930 9801678 10257570 13106895 14702517 15728274 16336130 23592411 24504195 26213790 29405034 37573099 39320685 44107551 47184822 49008390 73512585 75146198 78641370 88215102 112719297 117962055 147025170 187865495 220537755 225438594 235924110 338157891 375730990 441075510 563596485 676315782 1014473673 1127192970 1690789455 2028947346 3381578910 5072368365 10144736730