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10314340011520 = 29520871930541
BaseRepresentation
bin1001011000010111111010…
…0100101000111000000000
31100112001010002102100021021
42112011332210220320000
52322442232020332040
633534201542235224
72113120650351466
oct226057644507000
940461102370237
1010314340011520
113317318051206
1211a6ba3725b14
1359a83ab6293c
14279306974836
1512d4764e924a
hex9617e928e00

10314340011520 has 80 divisors (see below), whose sum is σ = 24742104270048. Its totient is φ = 4123756994560.

The previous prime is 10314340011517. The next prime is 10314340011581. The reversal of 10314340011520 is 2511004341301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4377450 + ... + 6307990.

Almost surely, 210314340011520 is an apocalyptic number.

10314340011520 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 10314340011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12371052135024).

10314340011520 is an abundant number, since it is smaller than the sum of its proper divisors (14427764258528).

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

10314340011520 is an equidigital number, since it uses as much as digits as its factorization.

10314340011520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932651 (or 1932635 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 10314340011520 its reverse (2511004341301), we get a palindrome (12825344352821).

The spelling of 10314340011520 in words is "ten trillion, three hundred fourteen billion, three hundred forty million, eleven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2087 2560 4174 8348 10435 16696 20870 33392 41740 66784 83480 133568 166960 267136 333920 534272 667840 1068544 1335680 1930541 2671360 3861082 5342720 7722164 9652705 15444328 19305410 30888656 38610820 61777312 77221640 123554624 154443280 247109248 308886560 494218496 617773120 988436992 1235546240 2471092480 4029039067 4942184960 8058078134 16116156268 20145195335 32232312536 40290390670 64464625072 80580781340 128929250144 161161562680 257858500288 322323125360 515717000576 644646250720 1031434001152 1289292501440 2062868002304 2578585002880 5157170005760 10314340011520