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404134440231450 = 235215742979399281
BaseRepresentation
bin101101111100011101110000…
…1110000000110001000011010
31221222220212121222222012011110
41123320323201300012020122
5410432314313144401300
63551304444313441150
7151060515113022135
oct13370734160061032
91858825558865143
10404134440231450
111078514a9824a65
12393abb664101b6
13144669390c8ca6
1471b22d5a4121c
1531ac6e6b81550
hex16f8ee1c0621a

404134440231450 has 96 divisors (see below), whose sum is σ = 1008663185799360. Its totient is φ = 107079996441600.

The previous prime is 404134440231427. The next prime is 404134440231463. The reversal of 404134440231450 is 54132044431404.

It is a junction number, because it is equal to n+sod(n) for n = 404134440231399 and 404134440231408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1011955810 + ... + 1012355090.

It is an arithmetic number, because the mean of its divisors is an integer number (10506908185410).

Almost surely, 2404134440231450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404134440231450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504331592899680).

404134440231450 is an abundant number, since it is smaller than the sum of its proper divisors (604528745567910).

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

404134440231450 is a wasteful number, since it uses less digits than its factorization.

404134440231450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442432 (or 442427 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 39.

Adding to 404134440231450 its reverse (54132044431404), we get a palindrome (458266484662854).

The spelling of 404134440231450 in words is "four hundred four trillion, one hundred thirty-four billion, four hundred forty million, two hundred thirty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 157 314 471 785 942 1570 2355 3925 4710 7850 11775 23550 42979 85958 128937 214895 257874 399281 429790 644685 798562 1074475 1197843 1289370 1996405 2148950 2395686 3223425 3992810 5989215 6446850 6747703 9982025 11978430 13495406 19964050 20243109 29946075 33738515 40486218 59892150 62687117 67477030 101215545 125374234 168692575 188061351 202431090 313435585 337385150 376122702 506077725 626871170 940306755 1012155450 1567177925 1880613510 3134355850 4701533775 9403067550 17160698099 34321396198 51482094297 85803490495 102964188594 171606980990 257410471485 429017452475 514820942970 858034904950 1287052357425 2574104714850 2694229601543 5388459203086 8082688804629 13471148007715 16165377609258 26942296015430 40413444023145 67355740038575 80826888046290 134711480077150 202067220115725 404134440231450