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114404031352110 = 2359744391039749
BaseRepresentation
bin11010000000110011000011…
…101001100100110100101110
3120000001220210122111202111110
4122000303003221210310232
5104443343424011231420
61043152253023532450
733045263355410103
oct3200630351446456
9500056718452443
10114404031352110
11334a8528211715
12109b832675a126
134bab33b986176
1420372829d8aaa
15d35da0e80ee0
hex680cc3a64d2e

114404031352110 has 128 divisors (see below), whose sum is σ = 278085540096000. Its totient is φ = 30118673534976.

The previous prime is 114404031352103. The next prime is 114404031352147. The reversal of 114404031352110 is 11253130404411.

It is a happy number.

It is a super-2 number, since 2×1144040313521102 (a number of 29 digits) contains 22 as substring.

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, 11734945516 + ... + 11734955264.

It is an arithmetic number, because the mean of its divisors is an integer number (2172543282000).

Almost surely, 2114404031352110 is an apocalyptic number.

114404031352110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114404031352110 is an abundant number, since it is smaller than the sum of its proper divisors (163681508743890).

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

114404031352110 is a wasteful number, since it uses less digits than its factorization.

114404031352110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19402.

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 114404031352110 its reverse (11253130404411), we get a palindrome (125657161756521).

The spelling of 114404031352110 in words is "one hundred fourteen trillion, four hundred four billion, thirty-one million, three hundred fifty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 97 194 291 443 485 582 886 970 1329 1455 2215 2658 2910 4430 6645 9103 9749 13290 18206 19498 27309 29247 42971 45515 48745 54618 58494 85942 91030 97490 128913 136545 146235 214855 257826 273090 292470 429710 644565 882991 945653 1289130 1765982 1891306 2648973 2836959 4032629 4318807 4414955 4728265 5297946 5673918 8065258 8637614 8829910 9456530 12097887 12956421 13244865 14184795 20163145 21594035 24195774 25912842 26489730 28369590 40326290 43188070 60489435 64782105 88745147 120978870 129564210 177490294 266235441 391165013 418924279 443725735 532470882 782330026 837848558 887451470 1173495039 1256772837 1331177205 1955825065 2094621395 2346990078 2513545674 2662354410 3911650130 4189242790 5867475195 6283864185 8608279259 11734950390 12567728370 17216558518 25824837777 39314100121 43041396295 51649675554 78628200242 86082792590 117942300363 129124188885 196570500605 235884600726 258248377770 393141001210 589711501815 1179423003630 3813467711737 7626935423474 11440403135211 19067338558685 22880806270422 38134677117370 57202015676055 114404031352110