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4154041040 = 245235993769
BaseRepresentation
bin1111011110011001…
…1010001011010000
3101201111120011000212
43313212122023100
532001413303130
61524111303252
7204640523552
oct36746321320
911644504025
104154041040
111841936576
1297b21ab28
13512806a66
142b59b14d2
15194a51e95
hexf799a2d0

4154041040 has 80 divisors (see below), whose sum is σ = 10097568000. Its totient is φ = 1586297856.

The previous prime is 4154041037. The next prime is 4154041051. The reversal of 4154041040 is 401404514.

It is a happy number.

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 (23).

It is a junction number, because it is equal to n+sod(n) for n = 4154040997 and 4154041015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1100276 + ... + 1104044.

It is an arithmetic number, because the mean of its divisors is an integer number (126219600).

Almost surely, 24154041040 is an apocalyptic number.

4154041040 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 4154041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5048784000).

4154041040 is an abundant number, since it is smaller than the sum of its proper divisors (5943526960).

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

4154041040 is a wasteful number, since it uses less digits than its factorization.

4154041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 4154041040 is about 64451.8505552789. The cubic root of 4154041040 is about 1607.5220087816.

Adding to 4154041040 its reverse (401404514), we get a palindrome (4555445554).

The spelling of 4154041040 in words is "four billion, one hundred fifty-four million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 599 920 1198 1840 2396 2995 3769 4792 5990 7538 9584 11980 13777 15076 18845 23960 27554 30152 37690 47920 55108 60304 68885 75380 86687 110216 137770 150760 173374 220432 275540 301520 346748 433435 551080 693496 866870 1102160 1386992 1733740 2257631 3467480 4515262 6934960 9030524 11288155 18061048 22576310 36122096 45152620 51925513 90305240 103851026 180610480 207702052 259627565 415404104 519255130 830808208 1038510260 2077020520 4154041040