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114010434403032 = 23389247325038623
BaseRepresentation
bin11001111011000100011111…
…011100010111101011011000
3112221200021212012102002002210
4121323010133130113223120
5104420421332201344112
61042251400455155120
733004660563504036
oct3173043734275330
9487607765362083
10114010434403032
113336660aa7a242
1210953b9b975aa0
134b801a3a82a6b
1420221c4da1556
15d2aa16787b3c
hex67b11f717ad8

114010434403032 has 128 divisors (see below), whose sum is σ = 288493828761600. Its totient is φ = 37541917366272.

The previous prime is 114010434403013. The next prime is 114010434403037. The reversal of 114010434403032 is 230304434010411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114010434403037) 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, 13221662673 + ... + 13221671295.

It is an arithmetic number, because the mean of its divisors is an integer number (2253858037200).

Almost surely, 2114010434403032 is an apocalyptic number.

114010434403032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114010434403032 is an abundant number, since it is smaller than the sum of its proper divisors (174483394358568).

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

114010434403032 is a wasteful number, since it uses less digits than its factorization.

114010434403032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13697 (or 13693 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 114010434403032 its reverse (230304434010411), we get a palindrome (344314868413443).

The spelling of 114010434403032 in words is "one hundred fourteen trillion, ten billion, four hundred thirty-four million, four hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 89 178 267 356 534 712 1068 2136 2473 2503 4946 5006 7419 7509 8623 9892 10012 14838 15018 17246 19784 20024 25869 29676 30036 34492 51738 59352 60072 68984 103476 206952 220097 222767 440194 445534 660291 668301 767447 880388 891068 1320582 1336602 1534894 1760776 1782136 2302341 2641164 2673204 3069788 4604682 5282328 5346408 6139576 6189919 9209364 12379838 18418728 18569757 21324679 21583369 24759676 37139514 42649358 43166738 49519352 63974037 64750107 74279028 85298716 86333476 127948074 129500214 148558056 170597432 172666952 255896148 259000428 511792296 518000856 550902791 1101805582 1652708373 1897896431 1920919841 2203611164 3305416746 3795792862 3841839682 4407222328 5693689293 5762759523 6610833492 7591585724 7683679364 11387378586 11525519046 13221666984 15183171448 15367358728 22774757172 23051038092 45549514344 46102076184 53375671537 106751343074 160127014611 213502686148 320254029222 427005372296 640508058444 1281016116888 4750434766793 9500869533586 14251304300379 19001739067172 28502608600758 38003478134344 57005217201516 114010434403032