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4257297941040 = 243452328564801
BaseRepresentation
bin111101111100111010101…
…110110100001000110000
3120001222211102011101010000
4331330322232310020300
51024222421233103130
613015435313510000
7616402545264654
oct75747256641060
916058742141100
104257297941040
1113a1567777a51
12589114572300
1324b5ccb1a121
1410a0a90a6a64
1575b1e842260
hex3df3abb4230

4257297941040 has 200 divisors, whose sum is σ = 15429106411488. Its totient is φ = 1085919436800.

The previous prime is 4257297940993. The next prime is 4257297941077. The reversal of 4257297941040 is 401497927524.

4257297941040 is a `hidden beast` number, since 4 + 257 + 297 + 94 + 10 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 14133361 + ... + 14431440.

Almost surely, 24257297941040 is an apocalyptic number.

4257297941040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4257297941040 is an abundant number, since it is smaller than the sum of its proper divisors (11171808470448).

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

4257297941040 is a wasteful number, since it uses less digits than its factorization.

4257297941040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28564849 (or 28564834 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 4257297941040 in words is "four trillion, two hundred fifty-seven billion, two hundred ninety-seven million, nine hundred forty-one thousand, forty".