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4010515040 = 25574187337
BaseRepresentation
bin1110111100001011…
…1001101001100000
3101100111111021101002
43233002321221200
531203142440130
61501543131132
7201245546450
oct35702715140
911314437332
104010515040
111778916344
1293b143aa8
134bbb6382c
142a08cdd60
15187150b45
hexef0b9a60

4010515040 has 96 divisors (see below), whose sum is σ = 11092624704. Its totient is φ = 1341480960.

The previous prime is 4010515031. The next prime is 4010515057. The reversal of 4010515040 is 405150104.

4010515040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2252 + ... + 89588.

It is an arithmetic number, because the mean of its divisors is an integer number (115548174).

Almost surely, 24010515040 is an apocalyptic number.

4010515040 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 4010515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5546312352).

4010515040 is an abundant number, since it is smaller than the sum of its proper divisors (7082109664).

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

4010515040 is a wasteful number, since it uses less digits than its factorization.

4010515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87400 (or 87392 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 4010515040 is about 63328.6273339317. The cubic root of 4010515040 is about 1588.7908003701.

Adding to 4010515040 its reverse (405150104), we get a palindrome (4415665144).

The spelling of 4010515040 in words is "four billion, ten million, five hundred fifteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 70 80 82 112 140 160 164 205 224 280 287 328 410 560 574 656 820 1120 1148 1312 1435 1640 2296 2870 3280 4592 5740 6560 9184 11480 22960 45920 87337 174674 349348 436685 611359 698696 873370 1222718 1397392 1746740 2445436 2794784 3056795 3493480 3580817 4890872 6113590 6986960 7161634 9781744 12227180 13973920 14323268 17904085 19563488 24454360 25065719 28646536 35808170 48908720 50131438 57293072 71616340 97817440 100262876 114586144 125328595 143232680 200525752 250657190 286465360 401051504 501314380 572930720 802103008 1002628760 2005257520 4010515040