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1000434040130 = 257431489223217
BaseRepresentation
bin11101000111011101000…
…00111111110101000010
310112122021222010221121102
432203232200333311002
5112342342103241010
62043332033254402
7132164455014110
oct16435640776502
93478258127542
101000434040130
11356310a30748
12141a83404402
1373457198015
14365c7d4cab0
151b054900ba5
hexe8ee83fd42

1000434040130 has 64 divisors (see below), whose sum is σ = 2107320779520. Its totient is φ = 334802571264.

The previous prime is 1000434040129. The next prime is 1000434040217. The reversal of 1000434040130 is 310404340001.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4370282 + ... + 4593498.

It is an arithmetic number, because the mean of its divisors is an integer number (32926887180).

Almost surely, 21000434040130 is an apocalyptic number.

1000434040130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000434040130 is an abundant number, since it is smaller than the sum of its proper divisors (1106886739390).

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

1000434040130 is a wasteful number, since it uses less digits than its factorization.

1000434040130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224763.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1000434040130 its reverse (310404340001), we get a palindrome (1310838380131).

The spelling of 1000434040130 in words is "one trillion, four hundred thirty-four million, forty thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 43 70 86 215 301 430 602 1489 1505 2978 3010 7445 10423 14890 20846 52115 64027 104230 128054 223217 320135 446434 448189 640270 896378 1116085 1562519 2232170 2240945 3125038 4481890 7812595 9598331 15625190 19196662 47991655 67188317 95983310 134376634 332370113 335941585 664740226 671883170 1661850565 2326590791 3323701130 4653181582 11632953955 14291914859 23265907910 28583829718 71459574295 100043404013 142919148590 200086808026 500217020065 1000434040130