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1015041412 = 2271122910331
BaseRepresentation
bin111100100000000…
…100110110000100
32121201222110001101
4330200010312010
54034322311122
6244415505444
734103465260
oct7440046604
92551873041
101015041412
11480a67700
12243b28284
131323a5628
1498b450a0
155e1a3027
hex3c804d84

1015041412 has 72 divisors (see below), whose sum is σ = 2308582080. Its totient is φ = 381796800.

The previous prime is 1015041409. The next prime is 1015041473. The reversal of 1015041412 is 2141405101.

It is a super-3 number, since 3×10150414123 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1015041412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93087 + ... + 103417.

It is an arithmetic number, because the mean of its divisors is an integer number (32063640).

Almost surely, 21015041412 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 1015041412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154291040).

1015041412 is an abundant number, since it is smaller than the sum of its proper divisors (1293540668).

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

1015041412 is a wasteful number, since it uses less digits than its factorization.

1015041412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10393 (or 10380 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 1015041412 is about 31859.7145624376. The cubic root of 1015041412 is about 1004.9888737496.

Adding to 1015041412 its reverse (2141405101), we get a palindrome (3156446513).

The spelling of 1015041412 in words is "one billion, fifteen million, forty-one thousand, four hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 121 154 203 242 308 319 406 484 638 812 847 1276 1694 2233 3388 3509 4466 7018 8932 10331 14036 20662 24563 41324 49126 72317 98252 113641 144634 227282 289268 299599 454564 599198 795487 1198396 1250051 1590974 2097193 2500102 3181948 3295589 4194386 5000204 6591178 8388772 8750357 13182356 17500714 23069123 35001428 36251479 46138246 72502958 92276492 145005916 253760353 507520706 1015041412