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434542252000 = 2553313504373
BaseRepresentation
bin1100101001011001011…
…11001000111111100000
31112112121222220120201111
412110230233020333200
524104420304031000
6531343112313104
743252235125033
oct6245457107740
91475558816644
10434542252000
111583198555aa
12702733a2794
1331c91a817cc
141706399501a
15b4841a9cba
hex652cbc8fe0

434542252000 has 96 divisors (see below), whose sum is σ = 1102111605504. Its totient is φ = 168209856000.

The previous prime is 434542251991. The next prime is 434542252019. The reversal of 434542252000 is 252245434.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1628187 + ... + 1876186.

It is an arithmetic number, because the mean of its divisors is an integer number (11480329224).

Almost surely, 2434542252000 is an apocalyptic number.

434542252000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434542252000 is an abundant number, since it is smaller than the sum of its proper divisors (667569353504).

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

434542252000 is a wasteful number, since it uses less digits than its factorization.

434542252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3504429 (or 3504411 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 31.

Adding to 434542252000 its reverse (252245434), we get a palindrome (434794497434).

The spelling of 434542252000 in words is "four hundred thirty-four billion, five hundred forty-two million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 775 800 992 1000 1240 1550 2000 2480 3100 3875 4000 4960 6200 7750 12400 15500 24800 31000 62000 124000 3504373 7008746 14017492 17521865 28034984 35043730 56069968 70087460 87609325 108635563 112139936 140174920 175218650 217271126 280349840 350437300 434542252 438046625 543177815 560699680 700874600 869084504 876093250 1086355630 1401749200 1738169008 1752186500 2172711260 2715889075 2803498400 3476338016 3504373000 4345422520 5431778150 7008746000 8690845040 10863556300 13579445375 14017492000 17381690080 21727112600 27158890750 43454225200 54317781500 86908450400 108635563000 217271126000 434542252000