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34103283445090 = 25172935937351659
BaseRepresentation
bin1111100000100010010100…
…00110000110110101100010
311110202020112110102002120101
413300101022012012311202
513432222011030220330
6200310455423533014
710116611104243126
oct760211206066542
9143666473362511
1034103283445090
11a959137485702
1239a954075a16a
131604c06081422
1485c871857586
153e21883a14ca
hex1f044a186d62

34103283445090 has 128 divisors (see below), whose sum is σ = 67607483328000. Its totient is φ = 12328253607936.

The previous prime is 34103283445079. The next prime is 34103283445109. The reversal of 34103283445090 is 9054438230143.

It is a super-2 number, since 2×341032834450902 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34103283445090.

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 63 ways as a sum of consecutive naturals, for example, 660135681 + ... + 660187339.

It is an arithmetic number, because the mean of its divisors is an integer number (528183463500).

Almost surely, 234103283445090 is an apocalyptic number.

34103283445090 is a deficient number, since it is larger than the sum of its proper divisors (33504199882910).

34103283445090 is a wasteful number, since it uses less digits than its factorization.

34103283445090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52444.

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 34103283445090 in words is "thirty-four trillion, one hundred three billion, two hundred eighty-three million, four hundred forty-five thousand, ninety".

Divisors: 1 2 5 10 17 29 34 58 85 145 170 290 359 373 493 718 746 986 1795 1865 2465 3590 3730 4930 6103 6341 10411 10817 12206 12682 20822 21634 30515 31705 51659 52055 54085 61030 63410 103318 104110 108170 133907 176987 183889 258295 267814 353974 367778 516590 669535 878203 884935 919445 1339070 1498111 1756406 1769870 1838890 2276419 2996222 3883303 4391015 4552838 7490555 7766606 8782030 11382095 14981110 18545581 19268807 19416515 22764190 25467887 37091162 38537614 38833030 50935774 66016151 92727905 96344035 127339435 132032302 185455810 192688070 254678870 315274877 327569719 330080755 537821849 558795403 630549754 655139438 660161510 1075643698 1117590806 1576374385 1637848595 2689109245 2793977015 3152748770 3275697190 5378218490 5587954030 6917501713 9142971433 9499521851 13835003426 18285942866 18999043702 34587508565 45714857165 47497609255 69175017130 91429714330 94995218510 117597529121 200607549677 235195058242 401215099354 587987645605 1003037748385 1175975291210 2006075496770 3410328344509 6820656689018 17051641722545 34103283445090