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1404212141310 = 2351183325915731
BaseRepresentation
bin10100011011110001100…
…100001101110011111110
311222020111221212202002120
4110123301210031303332
5141001311302010220
62553030335303410
7203310454156266
oct24336144156376
94866457782076
101404212141310
114a1583167410
121a818b97ab66
13a2555473c94
144bd6dbc27a6
15267d7d3ba40
hex146f190dcfe

1404212141310 has 128 divisors (see below), whose sum is σ = 3722155960320. Its totient is φ = 336189110400.

The previous prime is 1404212141279. The next prime is 1404212141333. The reversal of 1404212141310 is 131412124041.

It is a happy number.

It is a super-2 number, since 2×14042121413102 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 89256145 + ... + 89271875.

It is an arithmetic number, because the mean of its divisors is an integer number (29079343440).

Almost surely, 21404212141310 is an apocalyptic number.

1404212141310 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 1404212141310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861077980160).

1404212141310 is an abundant number, since it is smaller than the sum of its proper divisors (2317943819010).

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

1404212141310 is a wasteful number, since it uses less digits than its factorization.

1404212141310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19094.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1404212141310 its reverse (131412124041), we get a palindrome (1535624265351).

The spelling of 1404212141310 in words is "one trillion, four hundred four billion, two hundred twelve million, one hundred forty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 83 110 165 166 249 330 415 498 830 913 1245 1826 2490 2739 3259 4565 5478 6518 9130 9777 13695 15731 16295 19554 27390 31462 32590 35849 47193 48885 71698 78655 94386 97770 107547 157310 173041 179245 215094 235965 270497 346082 358490 471930 519123 537735 540994 811491 865205 1038246 1075470 1305673 1352485 1622982 1730410 2595615 2611346 2704970 2975467 3917019 4057455 5191230 5950934 6528365 7834038 8114910 8926401 13056730 14362403 14877335 17852802 19585095 28724806 29754670 39170190 43087209 44632005 51267329 71812015 86174418 89264010 102534658 143624030 153801987 215436045 256336645 307603974 430872090 512673290 563940619 769009935 1127881238 1538019870 1691821857 2819703095 3383643714 4255188307 5639406190 8459109285 8510376614 12765564921 16918218570 21275941535 25531129842 42551883070 46807071377 63827824605 93614142754 127655649210 140421214131 234035356885 280842428262 468070713770 702106070655 1404212141310