Search a number
-
+
1443415709190 = 2357131699311197
BaseRepresentation
bin10101000000010010010…
…001111101011000000110
312002222201010022100010010
4111000102101331120012
5142122103410143230
63023032424011050
7206166121043460
oct25002221753006
95088633270103
101443415709190
115071705a1194
121b38b1000a86
13a6162522620
144dc0c6b3130
152782e9539b0
hex1501247d606

1443415709190 has 128 divisors (see below), whose sum is σ = 4266151142400. Its totient is φ = 304364625408.

The previous prime is 1443415709173. The next prime is 1443415709243. The reversal of 1443415709190 is 919075143441.

It is a super-2 number, since 2×14434157091902 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4482672 + ... + 4793868.

It is an arithmetic number, because the mean of its divisors is an integer number (33329305800).

Almost surely, 21443415709190 is an apocalyptic number.

1443415709190 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 1443415709190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133075571200).

1443415709190 is an abundant number, since it is smaller than the sum of its proper divisors (2822735433210).

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

1443415709190 is a wasteful number, since it uses less digits than its factorization.

1443415709190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312926.

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 1443415709190 in words is "one trillion, four hundred forty-three billion, four hundred fifteen million, seven hundred nine thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 1699 2730 3398 5097 8495 10194 11893 16990 22087 23786 25485 35679 44174 50970 59465 66261 71358 110435 118930 132522 154609 178395 220870 309218 311197 331305 356790 463827 622394 662610 773045 927654 933591 1546090 1555985 1867182 2178379 2319135 3111970 4045561 4356758 4638270 4667955 6535137 8091122 9335910 10891895 12136683 13070274 20227805 21783790 24273366 28318927 32675685 40455610 56637854 60683415 65351370 84956781 121366830 141594635 169913562 283189270 424783905 528723703 849567810 1057447406 1586171109 2643618515 3172342218 3701065921 5287237030 6873408139 7402131842 7930855545 11103197763 13746816278 15861711090 18505329605 20620224417 22206395526 34367040695 37010659210 41240448834 48113856973 55515988815 68734081390 96227713946 103101122085 111031977630 144341570919 206202244170 240569284865 288683141838 481138569730 721707854595 1443415709190