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1457301428600 = 235229251258867
BaseRepresentation
bin10101001101001101111…
…011110001100101111000
312011022112211201222012012
4111031031323301211320
5142334023131203400
63033250335105052
7210200200521443
oct25151573614570
95138484658165
101457301428600
11512046734756
121b6527372188
13a756625a944
145076891c65a
1527d93a10d35
hex1534def1978

1457301428600 has 48 divisors (see below), whose sum is σ = 3505061208600. Its totient is φ = 562819859840.

The previous prime is 1457301428581. The next prime is 1457301428621. The reversal of 1457301428600 is 68241037541.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125623634 + ... + 125635233.

Almost surely, 21457301428600 is an apocalyptic number.

1457301428600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1457301428600 is an abundant number, since it is smaller than the sum of its proper divisors (2047759780000).

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

1457301428600 is a wasteful number, since it uses less digits than its factorization.

1457301428600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251258912 (or 251258903 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 1457301428600 in words is "one trillion, four hundred fifty-seven billion, three hundred one million, four hundred twenty-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 251258867 502517734 1005035468 1256294335 2010070936 2512588670 5025177340 6281471675 7286507143 10050354680 12562943350 14573014286 25125886700 29146028572 36432535715 50251773400 58292057144 72865071430 145730142860 182162678575 291460285720 364325357150 728650714300 1457301428600