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114444024435 = 32513895214219
BaseRepresentation
bin110101010010101100…
…1010011101001110011
3101221101210121210211200
41222211121103221303
53333340132240220
6124324100342243
711161013104626
oct1524531235163
9357353553750
10114444024435
1144598739484
121a21b0a4983
13aa3b105470
1457794bbdbd
152e9c32a890
hex1aa5653a73

114444024435 has 96 divisors (see below), whose sum is σ = 216495115200. Its totient is φ = 55588515840.

The previous prime is 114444024419. The next prime is 114444024437. The reversal of 114444024435 is 534420444411.

114444024435 is a `hidden beast` number, since 1 + 144 + 440 + 2 + 44 + 35 = 666.

It is not a de Polignac number, because 114444024435 - 24 = 114444024419 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114444024435.

It is not an unprimeable number, because it can be changed into a prime (114444024437) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27123756 + ... + 27127974.

It is an arithmetic number, because the mean of its divisors is an integer number (2255157450).

Almost surely, 2114444024435 is an apocalyptic number.

114444024435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114444024435 is a deficient number, since it is larger than the sum of its proper divisors (102051090765).

114444024435 is a wasteful number, since it uses less digits than its factorization.

114444024435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4853 (or 4850 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 114444024435 its reverse (534420444411), we get a palindrome (648864468846).

The spelling of 114444024435 in words is "one hundred fourteen billion, four hundred forty-four million, twenty-four thousand, four hundred thirty-five".

Divisors: 1 3 5 9 13 15 39 45 65 89 117 195 267 445 521 585 801 1157 1335 1563 2605 3471 4005 4219 4689 5785 6773 7815 10413 12657 17355 20319 21095 23445 33865 37971 46369 52065 54847 60957 63285 101595 139107 164541 189855 231845 274235 304785 375491 417321 493623 602797 695535 822705 1126473 1808391 1877455 2086605 2198099 2468115 3013985 3379419 4881383 5425173 5632365 6594297 9041955 10990495 14644149 16897095 19782891 24406915 27125865 28575287 32971485 43932447 73220745 85725861 98914455 142876435 195630811 219662235 257177583 428629305 586892433 978154055 1285887915 1760677299 2543200543 2934462165 7629601629 8803386495 12716002715 22888804887 38148008145 114444024435