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4151045140 = 2251119252267
BaseRepresentation
bin1111011101101011…
…1110110000010100
3101201021220221102121
43313122332300110
532000131421030
61523523145324
7204603205264
oct36732766024
911637827377
104151045140
11184017a720
1297a215244
13511cc8238
142b54317a4
1519465e47a
hexf76bec14

4151045140 has 72 divisors (see below), whose sum is σ = 10036710432. Its totient is φ = 1429997760.

The previous prime is 4151045137. The next prime is 4151045141. The reversal of 4151045140 is 415401514.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4151045141) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 53287 + ... + 105553.

It is an arithmetic number, because the mean of its divisors is an integer number (139398756).

Almost surely, 24151045140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4151045140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5018355216).

4151045140 is an abundant number, since it is smaller than the sum of its proper divisors (5885665292).

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

4151045140 is a wasteful number, since it uses less digits than its factorization.

4151045140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52325 (or 52304 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 4151045140 is about 64428.6049825697. The cubic root of 4151045140 is about 1607.1354668283.

Adding to 4151045140 its reverse (415401514), we get a palindrome (4566446654).

The spelling of 4151045140 in words is "four billion, one hundred fifty-one million, forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 361 380 418 722 836 1045 1444 1805 2090 3610 3971 4180 7220 7942 15884 19855 39710 52267 79420 104534 209068 261335 522670 574937 993073 1045340 1149874 1986146 2299748 2874685 3972292 4965365 5749370 9930730 10923803 11498740 18868387 19861460 21847606 37736774 43695212 54619015 75473548 94341935 109238030 188683870 207552257 218476060 377367740 415104514 830209028 1037761285 2075522570 4151045140