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429147462140 = 225193157170769
BaseRepresentation
bin1100011111010110010…
…11101001100111111100
31112000201000122212021122
412033223023221213330
524012343222242030
6525051515250112
743001450145515
oct6175313514774
91460630585248
10429147462140
11156000611091
126b208749938
13316121b6c67
1416ab12c7a0c
15b26a76d8e5
hex63eb2e99fc

429147462140 has 48 divisors (see below), whose sum is σ = 906468585120. Its totient is φ = 170658447360.

The previous prime is 429147462083. The next prime is 429147462167. The reversal of 429147462140 is 41264741924.

It is a super-2 number, since 2×4291474621402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 429147462091 and 429147462100.

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, 6028676 + ... + 6099444.

It is an arithmetic number, because the mean of its divisors is an integer number (18884762190).

Almost surely, 2429147462140 is an apocalyptic number.

It is an amenable number.

429147462140 is an abundant number, since it is smaller than the sum of its proper divisors (477321122980).

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

429147462140 is a wasteful number, since it uses less digits than its factorization.

429147462140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72542 (or 72540 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 429147462140 in words is "four hundred twenty-nine billion, one hundred forty-seven million, four hundred sixty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1571 1930 3142 3860 6284 7855 15710 31420 70769 141538 283076 303203 353845 606406 707690 1212812 1415380 1516015 3032030 6064060 13658417 27316834 54633668 68292085 111178099 136584170 222356198 273168340 444712396 555890495 1111780990 2223561980 21457373107 42914746214 85829492428 107286865535 214573731070 429147462140