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1052146431490 = 257118343937501
BaseRepresentation
bin11110100111110001101…
…00000111011000000010
310201120202220010121120111
433103320310013120002
5114214243441301430
62123203245301534
7136005112051360
oct17237064073002
93646686117514
101052146431490
1137623825a770
1214bab58648aa
13782a893246b
1438cd1c6c630
151c57e795c2a
hexf4f8d07602

1052146431490 has 128 divisors (see below), whose sum is σ = 2395135733760. Its totient is φ = 323244000000.

The previous prime is 1052146431473. The next prime is 1052146431493. The reversal of 1052146431490 is 941346412501.

It is a super-2 number, since 2×10521464314902 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052146431493) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 28037740 + ... + 28075240.

It is an arithmetic number, because the mean of its divisors is an integer number (18711997920).

Almost surely, 21052146431490 is an apocalyptic number.

1052146431490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1052146431490 is an abundant number, since it is smaller than the sum of its proper divisors (1342989302270).

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

1052146431490 is a wasteful number, since it uses less digits than its factorization.

1052146431490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38048.

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 1052146431490 in words is "one trillion, fifty-two billion, one hundred forty-six million, four hundred thirty-one thousand, four hundred ninety".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 83 110 154 166 385 415 439 581 770 830 878 913 1162 1826 2195 2905 3073 4390 4565 4829 5810 6146 6391 9130 9658 12782 15365 24145 30730 31955 33803 36437 37501 48290 63910 67606 72874 75002 169015 182185 187505 255059 262507 338030 364370 375010 400807 412511 510118 525014 801614 825022 1275295 1312535 2004035 2062555 2550590 2625070 2805649 2887577 3112583 4008070 4125110 5611298 5775154 6225166 14028245 14437885 15562915 16462939 21788081 28056490 28875770 31125830 32925878 34238413 43576162 68476826 82314695 108940405 115240573 164629390 171192065 181092329 217880810 230481146 239668891 342384130 362184658 479337782 576202865 905461645 1152405730 1198344455 1267646303 1366423937 1810923290 2396688910 2535292606 2732847874 6338231515 6832119685 9564967559 12676463030 13664239370 15030663307 19129935118 30061326614 47824837795 75153316535 95649675590 105214643149 150306633070 210429286298 526073215745 1052146431490