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1001412144 = 2432103107631
BaseRepresentation
bin111011101100000…
…101011000110000
32120210100000012200
4323230011120300
54022330142034
6243211423200
733546601635
oct7354053060
92523300180
101001412144
114742a8847
1223b454b00
1312c612b85
1496dd818c
155cdaea99
hex3bb05630

1001412144 has 120 divisors (see below), whose sum is σ = 2860745472. Its totient is φ = 326954880.

The previous prime is 1001412143. The next prime is 1001412227. The reversal of 1001412144 is 4412141001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1001412143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1586709 + ... + 1587339.

Almost surely, 21001412144 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 1001412144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430372736).

1001412144 is an abundant number, since it is smaller than the sum of its proper divisors (1859333328).

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

1001412144 is a wasteful number, since it uses less digits than its factorization.

1001412144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1001412144 is about 31645.0966817926. The cubic root of 1001412144 is about 1000.4704932680.

Adding to 1001412144 its reverse (4412141001), we get a palindrome (5413553145).

The spelling of 1001412144 in words is "one billion, one million, four hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 107 144 206 214 309 321 412 428 618 631 642 824 856 927 963 1236 1262 1284 1648 1712 1854 1893 1926 2472 2524 2568 3708 3786 3852 4944 5048 5136 5679 7416 7572 7704 10096 11021 11358 14832 15144 15408 22042 22716 30288 33063 44084 45432 64993 66126 67517 88168 90864 99189 129986 132252 135034 176336 194979 198378 202551 259972 264504 270068 389958 396756 405102 519944 529008 540136 584937 607653 779916 793512 810204 1039888 1080272 1169874 1215306 1559832 1587024 1620408 2339748 2430612 3119664 3240816 4679496 4861224 6954251 9358992 9722448 13908502 20862753 27817004 41725506 55634008 62588259 83451012 111268016 125176518 166902024 250353036 333804048 500706072 1001412144