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2041001312 = 257231199211
BaseRepresentation
bin111100110100111…
…0011010101100000
312021020111121110012
41321221303111200
513134444020222
6534305424052
7101402140100
oct17151632540
95236447405
102041001312
11958101549
1248b63b028
13266b018ac
141550cd200
15be2b11e2
hex79a73560

2041001312 has 144 divisors (see below), whose sum is σ = 4872268800. Its totient is φ = 838252800.

The previous prime is 2041001309. The next prime is 2041001329. The reversal of 2041001312 is 2131001402.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9672887 + ... + 9673097.

It is an arithmetic number, because the mean of its divisors is an integer number (33835200).

Almost surely, 22041001312 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 2041001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436134400).

2041001312 is an abundant number, since it is smaller than the sum of its proper divisors (2831267488).

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

2041001312 is a wasteful number, since it uses less digits than its factorization.

2041001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2041001312 is about 45177.4425128293. The cubic root of 2041001312 is about 1268.4726118915.

Adding to 2041001312 its reverse (2131001402), we get a palindrome (4172002714).

The spelling of 2041001312 in words is "two billion, forty-one million, one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 98 112 124 196 199 211 217 224 248 392 398 422 434 496 784 796 844 868 992 1393 1477 1519 1568 1592 1688 1736 2786 2954 3038 3184 3376 3472 5572 5908 6076 6169 6368 6541 6752 6944 9751 10339 11144 11816 12152 12338 13082 19502 20678 22288 23632 24304 24676 26164 39004 41356 41989 43183 44576 45787 47264 48608 49352 52328 78008 82712 83978 86366 91574 98704 104656 156016 165424 167956 172732 183148 197408 209312 293923 302281 312032 320509 330848 335912 345464 366296 587846 604562 641018 671824 690928 732592 1175692 1209124 1282036 1301659 1343648 1381856 1465184 2057461 2351384 2418248 2564072 2603318 4114922 4702768 4836496 5128144 5206636 8229844 9111613 9405536 9672992 10256288 10413272 16459688 18223226 20826544 32919376 36446452 41653088 63781291 65838752 72892904 127562582 145785808 255125164 291571616 510250328 1020500656 2041001312