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10134234440 = 23511192941801
BaseRepresentation
bin10010111000000110…
…00010010101001000
3222011021100110011022
421130003002111020
5131223331000230
64353335452012
7506064400001
oct113403022510
928137313138
1010134234440
114330569370
121b69b27008
13c56759435
146c1d061a8
153e4a761e5
hex25c0c2548

10134234440 has 128 divisors (see below), whose sum is σ = 27087696000. Its totient is φ = 3370752000.

The previous prime is 10134234437. The next prime is 10134234443. The reversal of 10134234440 is 4443243101.

It is an interprime number because it is at equal distance from previous prime (10134234437) and next prime (10134234443).

It is a super-2 number, since 2×101342344402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10134234443) 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, 221540 + ... + 263340.

It is an arithmetic number, because the mean of its divisors is an integer number (211622625).

Almost surely, 210134234440 is an apocalyptic number.

10134234440 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 10134234440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13543848000).

10134234440 is an abundant number, since it is smaller than the sum of its proper divisors (16953461560).

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

10134234440 is a wasteful number, since it uses less digits than its factorization.

10134234440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41871 (or 41867 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10134234440 its reverse (4443243101), we get a palindrome (14577477541).

The spelling of 10134234440 in words is "ten billion, one hundred thirty-four million, two hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 29 38 40 44 55 58 76 88 95 110 116 145 152 190 209 220 232 290 319 380 418 440 551 580 638 760 836 1045 1102 1160 1276 1595 1672 2090 2204 2552 2755 3190 4180 4408 5510 6061 6380 8360 11020 12122 12760 22040 24244 30305 41801 48488 60610 83602 121220 167204 209005 242440 334408 418010 459811 794219 836020 919622 1212229 1588438 1672040 1839244 2299055 2424458 3176876 3678488 3971095 4598110 4848916 6061145 6353752 7942190 8736409 9196220 9697832 12122290 13334519 15884380 17472818 18392440 23032351 24244580 26669038 31768760 34945636 43682045 46064702 48489160 53338076 66672595 69891272 87364090 92129404 106676152 115161755 133345190 174728180 184258808 230323510 253355861 266690380 349456360 460647020 506711722 533380760 921294040 1013423444 1266779305 2026846888 2533558610 5067117220 10134234440