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3929111040 = 2935511603
BaseRepresentation
bin1110101000110001…
…0111101000000000
3101010211022112002010
43222030113220000
531021323023130
61445514252520
7166236615141
oct35214275000
911124275063
103929111040
111736976308
12917a27140
134a803139a
14293b7dac8
1517ee210b0
hexea317a00

3929111040 has 80 divisors (see below), whose sum is σ = 12560901408. Its totient is φ = 1047760896.

The previous prime is 3929111033. The next prime is 3929111051. The reversal of 3929111040 is 401119293.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3929110989 and 3929111007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248122 + ... + 263481.

Almost surely, 23929111040 is an apocalyptic number.

3929111040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3929111040 is an abundant number, since it is smaller than the sum of its proper divisors (8631790368).

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

3929111040 is an equidigital number, since it uses as much as digits as its factorization.

3929111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511629 (or 511613 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 3929111040 is about 62682.6215150579. The cubic root of 3929111040 is about 1577.9676695046.

The spelling of 3929111040 in words is "three billion, nine hundred twenty-nine million, one hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 511603 1023206 1534809 2046412 2558015 3069618 4092824 5116030 6139236 7674045 8185648 10232060 12278472 15348090 16371296 20464120 24556944 30696180 32742592 40928240 49113888 61392360 65485184 81856480 98227776 122784720 130970368 163712960 196455552 245569440 261940736 327425920 392911104 491138880 654851840 785822208 982277760 1309703680 1964555520 3929111040