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4046214274284 = 22372131693731253
BaseRepresentation
bin111010111000010101001…
…010100001110011101100
3112022210222122000002011110
4322320111022201303230
51012243121323234114
612334445530152020
7565220650600500
oct72702512416354
915283878002143
104046214274284
11131aa98522986
12554224b82610
1323473045b270
14ddba2d76300
15703b8303759
hex3ae152a1cec

4046214274284 has 144 divisors (see below), whose sum is σ = 11828472350688. Its totient is φ = 1067036285952.

The previous prime is 4046214274259. The next prime is 4046214274331. The reversal of 4046214274284 is 4824724126404.

4046214274284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129450802 + ... + 129482054.

It is an arithmetic number, because the mean of its divisors is an integer number (82142169102).

Almost surely, 24046214274284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4046214274284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5914236175344).

4046214274284 is an abundant number, since it is smaller than the sum of its proper divisors (7782258076404).

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

4046214274284 is a wasteful number, since it uses less digits than its factorization.

4046214274284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48224 (or 48215 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 48.

The spelling of 4046214274284 in words is "four trillion, forty-six billion, two hundred fourteen million, two hundred seventy-four thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 7644 16937 31253 33874 50811 62506 67748 93759 101622 118559 125012 187518 203244 218771 220181 237118 355677 375036 406289 437542 440362 474236 656313 660543 711354 812578 829913 875084 880724 1218867 1312626 1321086 1422708 1531397 1541267 1625156 1659826 2437734 2489739 2625252 2642172 2844023 3062794 3082534 3319652 4594191 4623801 4875468 4979478 5688046 6125588 6165068 8532069 9188382 9247602 9958956 10788869 11376092 17064138 18376764 18495204 19908161 21577738 32366607 34128276 39816322 43155476 59724483 64733214 79632644 119448966 129466428 238897932 529332061 1058664122 1587996183 2117328244 3175992366 3705324427 6351984732 6881316793 7410648854 11115973281 13762633586 14821297708 20643950379 22231946562 25937270989 27525267172 41287900758 44463893124 48169217551 51874541978 77811812967 82575801516 96338435102 103749083956 144507652653 155623625934 192676870204 289015305306 311247251868 337184522857 578030610612 674369045714 1011553568571 1348738091428 2023107137142 4046214274284