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14140033040 = 2457791372333
BaseRepresentation
bin11010010101100111…
…11100100000010000
31100111102222002210102
431022303330200100
5212424322024130
610255033551532
71010255204060
oct151263744020
940442862712
1014140033040
115aa6753121
1228a75755a8
13144462b273
14981d293a0
1557b594645
hex34acfc810

14140033040 has 160 divisors (see below), whose sum is σ = 38341831680. Its totient is φ = 4749668352.

The previous prime is 14140033013. The next prime is 14140033079. The reversal of 14140033040 is 4033004141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6059714 + ... + 6062046.

It is an arithmetic number, because the mean of its divisors is an integer number (239636448).

Almost surely, 214140033040 is an apocalyptic number.

14140033040 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 14140033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19170915840).

14140033040 is an abundant number, since it is smaller than the sum of its proper divisors (24201798640).

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

14140033040 is a wasteful number, since it uses less digits than its factorization.

14140033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14140033040 its reverse (4033004141), we get a palindrome (18173037181).

The spelling of 14140033040 in words is "fourteen billion, one hundred forty million, thirty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 79 80 112 137 140 158 274 280 316 395 548 553 560 632 685 790 959 1096 1106 1264 1370 1580 1918 2192 2212 2333 2740 2765 3160 3836 4424 4666 4795 5480 5530 6320 7672 8848 9332 9590 10823 10960 11060 11665 15344 16331 18664 19180 21646 22120 23330 32662 37328 38360 43292 44240 46660 54115 65324 75761 76720 81655 86584 93320 108230 130648 151522 163310 173168 184307 186640 216460 261296 303044 319621 326620 368614 378805 432920 606088 639242 653240 737228 757610 865840 921535 1212176 1278484 1290149 1306480 1474456 1515220 1598105 1843070 2237347 2556968 2580298 2948912 3030440 3196210 3686140 4474694 5113936 5160596 6060880 6392420 6450745 7372280 8949388 10321192 11186735 12784840 12901490 14744560 17898776 20642384 22373470 25250059 25569680 25802980 35797552 44746940 50500118 51605960 89493880 101000236 103211920 126250295 176750413 178987760 202000472 252500590 353500826 404000944 505001180 707001652 883752065 1010002360 1414003304 1767504130 2020004720 2828006608 3535008260 7070016520 14140033040