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114130633455 = 3251937732677
BaseRepresentation
bin110101001001010110…
…1110100001011101111
3101220120221220220020100
41222102231310023233
53332214420232310
6124233023322143
711150156243406
oct1522255641357
9356527826210
10114130633455
1144447849173
121a152150353
13a9bb1c9507
145749a2063d
152e7ea73ec0
hex1a92b742ef

114130633455 has 144 divisors (see below), whose sum is σ = 217156511520. Its totient is φ = 55257126912.

The previous prime is 114130633439. The next prime is 114130633471. The reversal of 114130633455 is 554336031411.

114130633455 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 306 + 3 + 345 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (114130633439) and next prime (114130633471).

It is not a de Polignac number, because 114130633455 - 24 = 114130633439 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 168582577 + ... + 168583253.

It is an arithmetic number, because the mean of its divisors is an integer number (1508031330).

Almost surely, 2114130633455 is an apocalyptic number.

114130633455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114130633455 is a deficient number, since it is larger than the sum of its proper divisors (103025878065).

114130633455 is a wasteful number, since it uses less digits than its factorization.

114130633455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 114130633455 its reverse (554336031411), we get a palindrome (668466664866).

The spelling of 114130633455 in words is "one hundred fourteen billion, one hundred thirty million, six hundred thirty-three thousand, four hundred fifty-five".

Divisors: 1 3 5 9 15 19 37 45 57 73 95 111 171 185 219 285 333 365 555 657 677 703 855 1095 1387 1665 2031 2109 2701 3285 3385 3515 4161 5329 6093 6327 6935 8103 10155 10545 12483 12863 13505 15987 20805 24309 25049 26645 30465 31635 38589 40515 47961 49421 51319 62415 64315 75147 79935 101251 115767 121545 125245 148263 153957 192945 197173 225441 239805 247105 256595 303753 375735 444789 461871 475931 506255 578835 591519 741315 769785 911259 938999 985865 1127205 1427793 1518765 1774557 1828577 2223945 2309355 2379655 2816997 2957595 3607733 3746287 4283379 4556295 4694995 5485731 7138965 8450991 8872785 9142885 10823199 11238861 14084985 16457193 18038665 18731435 21416895 27428655 32469597 33716583 34742963 42254955 54115995 56194305 68546927 82285965 104228889 133486121 162347985 168582915 173714815 205640781 312686667 342734635 400458363 521144445 616922343 667430605 1028203905 1201375089 1563433335 2002291815 2536236299 3084611715 6006875445 7608708897 12681181495 22826126691 38043544485 114130633455