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146493446000 = 2453116658793
BaseRepresentation
bin1000100001101110110…
…0001001011101110000
3112000010101021010002012
42020123230021131300
54400004310233000
6151144222542052
713404146513516
oct2103354113560
9460111233065
10146493446000
1157144805240
1224484437928
1310a77c59935
147139ba84b6
153c25d2a735
hex221bb09770

146493446000 has 80 divisors (see below), whose sum is σ = 386423133408. Its totient is φ = 53270336000.

The previous prime is 146493445997. The next prime is 146493446009. The reversal of 146493446000 is 644394641.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146493446009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3307397 + ... + 3351396.

Almost surely, 2146493446000 is an apocalyptic number.

146493446000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146493446000 is an abundant number, since it is smaller than the sum of its proper divisors (239929687408).

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

146493446000 is a wasteful number, since it uses less digits than its factorization.

146493446000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6658827 (or 6658811 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 146493446000 in words is "one hundred forty-six billion, four hundred ninety-three million, four hundred forty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 6658793 13317586 26635172 33293965 53270344 66587930 73246723 106540688 133175860 146493446 166469825 266351720 292986892 332939650 366233615 532703440 585973784 665879300 732467230 832349125 1171947568 1331758600 1464934460 1664698250 1831168075 2663517200 2929868920 3329396500 3662336150 5859737840 6658793000 7324672300 9155840375 13317586000 14649344600 18311680750 29298689200 36623361500 73246723000 146493446000