Search a number
-
+
4051211040 = 253252813341
BaseRepresentation
bin1111000101111000…
…1001001100100000
3101110100001211210100
43301132021030200
531244102223130
61505555302400
7202251503622
oct36136111440
911410054710
104051211040
1117998918a8
129508aaa00
134c74120c6
142a6084c12
1518a9ddc60
hexf1789320

4051211040 has 72 divisors (see below), whose sum is σ = 13824762588. Its totient is φ = 1080322560.

The previous prime is 4051211029. The next prime is 4051211063. The reversal of 4051211040 is 401121504.

4051211040 is a `hidden beast` number, since 4 + 0 + 512 + 110 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3335755536 + 715455504 = 57756^2 + 26748^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1405231 + ... + 1408110.

Almost surely, 24051211040 is an apocalyptic number.

4051211040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4051211040 is an abundant number, since it is smaller than the sum of its proper divisors (9773551548).

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

4051211040 is a wasteful number, since it uses less digits than its factorization.

4051211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813362 (or 2813351 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 4051211040 is about 63649.1244244569. The cubic root of 4051211040 is about 1594.1467172038.

Adding to 4051211040 its reverse (401121504), we get a palindrome (4452332544).

The spelling of 4051211040 in words is "four billion, fifty-one million, two hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2813341 5626682 8440023 11253364 14066705 16880046 22506728 25320069 28133410 33760092 42200115 45013456 50640138 56266820 67520184 84400230 90026912 101280276 112533640 126600345 135040368 168800460 202560552 225067280 253200690 270080736 337600920 405121104 450134560 506401380 675201840 810242208 1012802760 1350403680 2025605520 4051211040