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1401111540 = 223354435857
BaseRepresentation
bin101001110000011…
…0100001111110100
310121122102211201000
41103200310033310
510332141032130
6351010403300
746502152203
oct12340641764
93548384630
101401111540
11659988924
12331290530
1319437a6aa
14d412123a
1583014260
hex538343f4

1401111540 has 96 divisors (see below), whose sum is σ = 4369599360. Its totient is φ = 372722688.

The previous prime is 1401111533. The next prime is 1401111577. The reversal of 1401111540 is 451111041.

1401111540 is a `hidden beast` number, since 14 + 0 + 1 + 111 + 540 = 666.

It is a super-2 number, since 2×14011115402 = 3926227095042343200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236292 + ... + 242148.

It is an arithmetic number, because the mean of its divisors is an integer number (45516660).

Almost surely, 21401111540 is an apocalyptic number.

1401111540 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 1401111540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184799680).

1401111540 is an abundant number, since it is smaller than the sum of its proper divisors (2968487820).

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

1401111540 is a wasteful number, since it uses less digits than its factorization.

1401111540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6318 (or 6310 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1401111540 is about 37431.4244986749. The cubic root of 1401111540 is about 1118.9849274540.

Adding to 1401111540 its reverse (451111041), we get a palindrome (1852222581).

The spelling of 1401111540 in words is "one billion, four hundred one million, one hundred eleven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 443 540 886 1329 1772 2215 2658 3987 4430 5316 5857 6645 7974 8860 11714 11961 13290 15948 17571 19935 23428 23922 26580 29285 35142 39870 47844 52713 58570 59805 70284 79740 87855 105426 117140 119610 158139 175710 210852 239220 263565 316278 351420 527130 632556 790695 1054260 1581390 2594651 3162780 5189302 7783953 10378604 12973255 15567906 23351859 25946510 31135812 38919765 46703718 51893020 70055577 77839530 93407436 116759295 140111154 155679060 233518590 280222308 350277885 467037180 700555770 1401111540