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4092141480 = 2335747103651
BaseRepresentation
bin1111001111101001…
…0001111110101000
3101120012002022210120
43303322101332220
531340042011410
61514020443240
7203256425430
oct36372217650
911505068716
104092141480
11180a9a8509
12962549520
13502a432bb
142ab69b2c0
1518e3c6570
hexf3e91fa8

4092141480 has 128 divisors (see below), whose sum is σ = 14328852480. Its totient is φ = 915436800.

The previous prime is 4092141437. The next prime is 4092141523. The reversal of 4092141480 is 841412904.

It is an interprime number because it is at equal distance from previous prime (4092141437) and next prime (4092141523).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12346 + ... + 91305.

It is an arithmetic number, because the mean of its divisors is an integer number (111944160).

Almost surely, 24092141480 is an apocalyptic number.

4092141480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4092141480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7164426240).

4092141480 is an abundant number, since it is smaller than the sum of its proper divisors (10236711000).

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

4092141480 is a wasteful number, since it uses less digits than its factorization.

4092141480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103719 (or 103715 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 4092141480 is about 63969.8482099184. The cubic root of 4092141480 is about 1599.4974306983.

The spelling of 4092141480 in words is "four billion, ninety-two million, one hundred forty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 47 56 60 70 84 94 105 120 140 141 168 188 210 235 280 282 329 376 420 470 564 658 705 840 940 987 1128 1316 1410 1645 1880 1974 2632 2820 3290 3948 4935 5640 6580 7896 9870 13160 19740 39480 103651 207302 310953 414604 518255 621906 725557 829208 1036510 1243812 1451114 1554765 2073020 2176671 2487624 2902228 3109530 3627785 4146040 4353342 4871597 5804456 6219060 7255570 8706684 9743194 10883355 12438120 14511140 14614791 17413368 19486388 21766710 24357985 29022280 29229582 34101179 38972776 43533420 48715970 58459164 68202358 73073955 87066840 97431940 102303537 116918328 136404716 146147910 170505895 194863880 204607074 272809432 292295820 341011790 409214148 511517685 584591640 682023580 818428296 1023035370 1364047160 2046070740 4092141480