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114104214401430 = 235111033499618893
BaseRepresentation
bin11001111100011011110101…
…001010101011000110010110
3112222000020220220000121012210
4121330123311022223012112
5104423440412341321210
61042402430310054250
733014520542363061
oct3174336512530626
9488006826017183
10114104214401430
11333a2364380050
121096a1b264a386
134b88c9aa58386
14202695dd058d8
15d2d1a48cde20
hex67c6f52ab196

114104214401430 has 128 divisors (see below), whose sum is σ = 302510368742400. Its totient is φ = 27314575234560.

The previous prime is 114104214401423. The next prime is 114104214401479. The reversal of 114104214401430 is 34104412401411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7053064 + ... + 16671956.

It is an arithmetic number, because the mean of its divisors is an integer number (2363362255800).

Almost surely, 2114104214401430 is an apocalyptic number.

114104214401430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114104214401430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151255184371200).

114104214401430 is an abundant number, since it is smaller than the sum of its proper divisors (188406154340970).

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

114104214401430 is a wasteful number, since it uses less digits than its factorization.

114104214401430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9619366.

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 114104214401430 its reverse (34104412401411), we get a palindrome (148208626802841).

It can be divided in two parts, 11410421 and 4401430, that added together give a palindrome (15811851).

The spelling of 114104214401430 in words is "one hundred fourteen trillion, one hundred four billion, two hundred fourteen million, four hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 103 110 165 206 309 330 349 515 618 698 1030 1047 1133 1545 1745 2094 2266 3090 3399 3490 3839 5235 5665 6798 7678 10470 11330 11517 16995 19195 23034 33990 35947 38390 57585 71894 107841 115170 179735 215682 359470 395417 539205 790834 1078410 1186251 1977085 2372502 3954170 5931255 9618893 11862510 19237786 28856679 48094465 57713358 96188930 105807823 144283395 211615646 288566790 317423469 529039115 634846938 990745979 1058078230 1587117345 1981491958 2972237937 3174234690 3356993657 4953729895 5944475874 6713987314 9907459790 10070980971 10898205769 14861189685 16784968285 20141961942 21796411538 29722379370 32694617307 33569936570 36926930227 50354904855 54491028845 65389234614 73853860454 100709809710 108982057690 110780790681 163473086535 184634651135 221561581362 326946173070 345770346671 369269302270 553903953405 691540693342 1037311040013 1107807906810 1728851733355 2074622080026 3457703466710 3803473813381 5186555200065 7606947626762 10373110400130 11410421440143 19017369066905 22820842880286 38034738133810 57052107200715 114104214401430