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10314123004240 = 24511431061256901
BaseRepresentation
bin1001011000010111000110…
…1000110100100101010000
31100112000112222002020020121
42112011301220310211100
52322441310442113430
633534124231120024
72113112404001266
oct226056150644520
940460488066217
1010314123004240
113317216602450
1211a6b42b13014
1359a804c02473
142792c5c06436
1512d462430a7a
hex96171a34950

10314123004240 has 160 divisors (see below), whose sum is σ = 26794081176192. Its totient is φ = 3659900160000.

The previous prime is 10314123004223. The next prime is 10314123004243. The reversal of 10314123004240 is 4240032141301.

It is a super-2 number, since 2×103141230042402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10314123004243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40019790 + ... + 40276690.

Almost surely, 210314123004240 is an apocalyptic number.

10314123004240 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 10314123004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13397040588096).

10314123004240 is an abundant number, since it is smaller than the sum of its proper divisors (16479958171952).

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

10314123004240 is a wasteful number, since it uses less digits than its factorization.

10314123004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258029 (or 258023 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 10314123004240 its reverse (4240032141301), we get a palindrome (14554155145541).

The spelling of 10314123004240 in words is "ten trillion, three hundred fourteen billion, one hundred twenty-three million, four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 80 86 88 110 172 176 215 220 344 430 440 473 688 860 880 946 1061 1720 1892 2122 2365 3440 3784 4244 4730 5305 7568 8488 9460 10610 11671 16976 18920 21220 23342 37840 42440 45623 46684 58355 84880 91246 93368 116710 182492 186736 228115 233420 256901 364984 456230 466840 501853 513802 729968 912460 933680 1003706 1027604 1284505 1824920 2007412 2055208 2509265 2569010 2825911 3649840 4014824 4110416 5018530 5138020 5651822 8029648 10037060 10276040 11046743 11303644 14129555 20074120 20552080 22093486 22607288 28259110 40148240 44186972 45214576 55233715 56518220 88373944 110467430 113036440 121514173 176747888 220934860 226072880 243028346 272571961 441869720 486056692 545143922 607570865 883739440 972113384 1090287844 1215141730 1362859805 1944226768 2180575688 2430283460 2725719610 2998291571 4361151376 4860566920 5451439220 5996583142 9721133840 10902878440 11720594323 11993166284 14991457855 21805756880 23441188646 23986332568 29982915710 46882377292 47972665136 58602971615 59965831420 93764754584 117205943230 119931662840 128926537553 187529509168 234411886460 239863325680 257853075106 468823772920 515706150212 644632687765 937647545840 1031412300424 1289265375530 2062824600848 2578530751060 5157061502120 10314123004240