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1401031120 = 245192833257
BaseRepresentation
bin101001110000010…
…0000100111010000
310121122021202101111
41103200200213100
510332130443440
6351004543104
746501365556
oct12340404720
93548252344
101401031120
11659933465
12331251a94
1319434cbc8
14d40ddbd6
1582eea4ea
hex538209d0

1401031120 has 80 divisors (see below), whose sum is σ = 3442011840. Its totient is φ = 528878592.

The previous prime is 1401031069. The next prime is 1401031127. The reversal of 1401031120 is 211301041.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1401031120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401031127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 428532 + ... + 431788.

It is an arithmetic number, because the mean of its divisors is an integer number (43025148).

Almost surely, 21401031120 is an apocalyptic number.

1401031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721005920).

1401031120 is an abundant number, since it is smaller than the sum of its proper divisors (2040980720).

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

1401031120 is a wasteful number, since it uses less digits than its factorization.

1401031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1401031120 is about 37430.3502521684. The cubic root of 1401031120 is about 1118.9635181451.

Adding to 1401031120 its reverse (211301041), we get a palindrome (1612332161).

The spelling of 1401031120 in words is "one billion, four hundred one million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 283 304 380 566 760 1132 1415 1520 2264 2830 3257 4528 5377 5660 6514 10754 11320 13028 16285 21508 22640 26056 26885 32570 43016 52112 53770 61883 65140 86032 107540 123766 130280 215080 247532 260560 309415 430160 495064 618830 921731 990128 1237660 1843462 2475320 3686924 4608655 4950640 7373848 9217310 14747696 17512889 18434620 35025778 36869240 70051556 73738480 87564445 140103112 175128890 280206224 350257780 700515560 1401031120