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114140004003 = 322931113127983
BaseRepresentation
bin110101001001101000…
…1100011111010100011
3101220121121112222012200
41222103101203322203
53332224320112003
6124234000224243
711150332011654
oct1522321437243
9356547488180
10114140004003
1144452069423
121a15530b083
13a9c012a70c
14574ad7d52b
152e807c56a3
hex1a93463ea3

114140004003 has 96 divisors (see below), whose sum is σ = 179194429440. Its totient is φ = 69844239360.

The previous prime is 114140003969. The next prime is 114140004023. The reversal of 114140004003 is 300400041411.

It is not a de Polignac number, because 114140004003 - 29 = 114140003491 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114140004023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116113450 + ... + 116114432.

It is an arithmetic number, because the mean of its divisors is an integer number (1866608640).

Almost surely, 2114140004003 is an apocalyptic number.

114140004003 is a deficient number, since it is larger than the sum of its proper divisors (65054425437).

114140004003 is a wasteful number, since it uses less digits than its factorization.

114140004003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 114140004003 its reverse (300400041411), we get a palindrome (414540045414).

The spelling of 114140004003 in words is "one hundred fourteen billion, one hundred forty million, four thousand, three".

Divisors: 1 3 9 29 31 87 93 113 127 261 279 339 381 899 983 1017 1143 2697 2949 3277 3503 3683 3937 8091 8847 9831 10509 11049 11811 14351 28507 29493 30473 31527 33147 35433 43053 85521 91419 101587 111079 114173 124841 129159 256563 274257 304761 333237 342519 374523 416179 444881 883717 914283 999711 1027557 1123569 1248537 1334643 2651151 3221291 3443449 3620389 3745611 3870071 4003929 7953453 9663873 10330347 10861167 11610213 12901549 14107033 28991619 30991041 32583501 34830639 38704647 42321099 99860021 112232059 116113941 126963297 299580063 336696177 409103957 437318023 898740189 1010088531 1227311871 1311954069 3681935613 3935862207 12682222667 38046668001 114140004003