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404132134000 = 24537173316657
BaseRepresentation
bin1011110000110000010…
…01101111110001110000
31102122010122220112012211
411320120021233301300
523110130311242000
6505353350101504
741124525313630
oct5703011576160
91378118815184
10404132134000
11146434065881
12663a704a894
132c15674494a
14157bacb06c0
15a7a456e7ba
hex5e1826fc70

404132134000 has 160 divisors (see below), whose sum is σ = 1117501796736. Its totient is φ = 138471321600.

The previous prime is 404132133971. The next prime is 404132134019. The reversal of 404132134000 is 431231404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24253672 + ... + 24270328.

Almost surely, 2404132134000 is an apocalyptic number.

404132134000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404132134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558750898368).

404132134000 is an abundant number, since it is smaller than the sum of its proper divisors (713369662736).

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

404132134000 is a wasteful number, since it uses less digits than its factorization.

404132134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18420 (or 18404 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 404132134000 its reverse (431231404), we get a palindrome (404563365404).

The spelling of 404132134000 in words is "four hundred four billion, one hundred thirty-two million, one hundred thirty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1733 1750 2000 2800 3466 3500 6932 7000 8665 12131 13864 14000 16657 17330 24262 27728 33314 34660 43325 48524 60655 66628 69320 83285 86650 97048 116599 121310 133256 138640 166570 173300 194096 216625 233198 242620 266512 303275 333140 346600 416425 433250 466396 485240 582995 606550 666280 693200 832850 866500 932792 970480 1165990 1213100 1332560 1516375 1665700 1733000 1865584 2082125 2331980 2426200 2914975 3032750 3331400 3466000 4164250 4663960 4852400 5829950 6065500 6662800 8328500 9327920 11659900 12131000 14574875 16657000 23319800 24262000 28866581 29149750 33314000 46639600 57733162 58299500 115466324 116599000 144332905 202066067 230932648 233198000 288665810 404132134 461865296 577331620 721664525 808264268 1010330335 1154663240 1443329050 1616528536 2020660670 2309326480 2886658100 3233057072 3608322625 4041321340 5051651675 5773316200 7216645250 8082642680 10103303350 11546632400 14433290500 16165285360 20206606700 25258258375 28866581000 40413213400 50516516750 57733162000 80826426800 101033033500 202066067000 404132134000