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40232410240 = 2751153107827
BaseRepresentation
bin100101011110000010…
…011101110010000000
310211211212101012102011
4211132002131302000
51124343444111430
630252120102304
72622665562451
oct453602356200
9124755335364
1040232410240
1116076168320
127969904994
133a42276909
141d393c9128
1510a70e422a
hex95e09dc80

40232410240 has 128 divisors (see below), whose sum is σ = 106904992320. Its totient is φ = 14353797120.

The previous prime is 40232410199. The next prime is 40232410241. The reversal of 40232410240 is 4201423204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (40232410241) 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, 319207 + ... + 427033.

Almost surely, 240232410240 is an apocalyptic number.

40232410240 is a gapful number since it is divisible by the number (40) 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 40232410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53452496160).

40232410240 is an abundant number, since it is smaller than the sum of its proper divisors (66672582080).

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

40232410240 is a wasteful number, since it uses less digits than its factorization.

40232410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107910 (or 107898 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 40232410240 its reverse (4201423204), we get a palindrome (44433833444).

The spelling of 40232410240 in words is "forty billion, two hundred thirty-two million, four hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 53 55 64 80 88 106 110 128 160 176 212 220 265 320 352 424 440 530 583 640 704 848 880 1060 1166 1408 1696 1760 2120 2332 2915 3392 3520 4240 4664 5830 6784 7040 8480 9328 11660 16960 18656 23320 33920 37312 46640 74624 93280 107827 186560 215654 373120 431308 539135 862616 1078270 1186097 1725232 2156540 2372194 3450464 4313080 4744388 5714831 5930485 6900928 8626160 9488776 11429662 11860970 13801856 17252320 18977552 22859324 23721940 28574155 34504640 37955104 45718648 47443880 57148310 62863141 69009280 75910208 91437296 94887760 114296620 125726282 151820416 182874592 189775520 228593240 251452564 314315705 365749184 379551040 457186480 502905128 628631410 731498368 759102080 914372960 1005810256 1257262820 1828745920 2011620512 2514525640 3657491840 4023241024 5029051280 8046482048 10058102560 20116205120 40232410240