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4155340080 = 2435231814159
BaseRepresentation
bin1111011110101101…
…0111010100110000
3101201121000010222110
43313223113110300
532002231340310
61524155205320
7204654544053
oct36753272460
911647003873
104155340080
111842643561
1297b746840
13512b70118
142b5c2ca9a
15194c0bd20
hexf7ad7530

4155340080 has 160 divisors (see below), whose sum is σ = 13519134720. Its totient is φ = 1053803520.

The previous prime is 4155340061. The next prime is 4155340121. The reversal of 4155340080 is 800435514.

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

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, 997041 + ... + 1001199.

It is an arithmetic number, because the mean of its divisors is an integer number (84494592).

Almost surely, 24155340080 is an apocalyptic number.

4155340080 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 4155340080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6759567360).

4155340080 is an abundant number, since it is smaller than the sum of its proper divisors (9363794640).

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

4155340080 is a wasteful number, since it uses less digits than its factorization.

4155340080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4379 (or 4373 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 4155340080 is about 64461.9273680209. The cubic root of 4155340080 is about 1607.6895579008.

Adding to 4155340080 its reverse (800435514), we get a palindrome (4955775594).

The spelling of 4155340080 in words is "four billion, one hundred fifty-five million, three hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 181 184 230 240 276 345 362 368 460 543 552 690 724 905 920 1086 1104 1380 1448 1810 1840 2172 2715 2760 2896 3620 4159 4163 4344 5430 5520 7240 8318 8326 8688 10860 12477 12489 14480 16636 16652 20795 20815 21720 24954 24978 33272 33304 41590 41630 43440 49908 49956 62385 62445 66544 66608 83180 83260 95657 99816 99912 124770 124890 166360 166520 191314 199632 199824 249540 249780 286971 332720 333040 382628 478285 499080 499560 573942 752779 765256 956570 998160 999120 1147884 1434855 1505558 1530512 1913140 2258337 2295768 2869710 3011116 3763895 3826280 4516674 4591536 5739420 6022232 7527790 7652560 9033348 11291685 11478840 12044464 15055580 17313917 18066696 22583370 22957680 30111160 34627834 36133392 45166740 51941751 60222320 69255668 86569585 90333480 103883502 138511336 173139170 180666960 207767004 259708755 277022672 346278340 415534008 519417510 692556680 831068016 1038835020 1385113360 2077670040 4155340080