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2041157412 = 2232753672281
BaseRepresentation
bin111100110101001…
…1001011100100100
312021020210112120200
41321222121130210
513140014014122
6534313030500
7101403360150
oct17152313444
95236715520
102041157412
119581a8858
1248b6b5430
13266b57968
14155130060
15be2e25ac
hex79a99724

2041157412 has 144 divisors (see below), whose sum is σ = 6100278912. Its totient is φ = 563397120.

The previous prime is 2041157399. The next prime is 2041157413. The reversal of 2041157412 is 2147511402.

It is not an unprimeable number, because it can be changed into a prime (2041157413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893712 + ... + 895992.

It is an arithmetic number, because the mean of its divisors is an integer number (42363048).

Almost surely, 22041157412 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 2041157412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050139456).

2041157412 is an abundant number, since it is smaller than the sum of its proper divisors (4059121500).

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

2041157412 is a wasteful number, since it uses less digits than its factorization.

2041157412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2041157412 is about 45179.1701119000. The cubic root of 2041157412 is about 1268.5049495364.

Adding to 2041157412 its reverse (2147511402), we get a palindrome (4188668814).

The spelling of 2041157412 in words is "two billion, forty-one million, one hundred fifty-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 67 84 106 126 134 159 201 212 252 268 318 371 402 469 477 603 636 742 804 938 954 1113 1206 1407 1484 1876 1908 2226 2281 2412 2814 3339 3551 4221 4452 4562 5628 6678 6843 7102 8442 9124 10653 13356 13686 14204 15967 16884 20529 21306 24857 27372 31934 31959 41058 42612 47901 49714 63868 63918 74571 82116 95802 99428 120893 127836 143703 149142 152827 191604 223713 241786 287406 298284 305654 362679 447426 458481 483572 574812 611308 725358 846251 894852 916962 1069789 1088037 1375443 1450716 1692502 1833924 2139578 2176074 2538753 2750886 3209367 3385004 4279156 4352148 5077506 5501772 6418734 7616259 8099831 9628101 10155012 12837468 15232518 16199662 19256202 24299493 30465036 32399324 38512404 48598986 56698817 72898479 97197972 113397634 145796958 170096451 226795268 291593916 340192902 510289353 680385804 1020578706 2041157412