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1401132040 = 235711479679
BaseRepresentation
bin101001110000011…
…1001010000001000
310121122110212211021
41103200321100020
510332142211130
6351011042224
746502266030
oct12340712010
93548425737
101401132040
116599a2270
123312a0374
13194386b19
14d41288c0
158301a37a
hex53839408

1401132040 has 128 divisors (see below), whose sum is σ = 4014489600. Its totient is φ = 427380480.

The previous prime is 1401132011. The next prime is 1401132043. The reversal of 1401132040 is 402311041.

It is not an unprimeable number, because it can be changed into a prime (1401132043) 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 31 ways as a sum of consecutive naturals, for example, 139921 + ... + 149599.

It is an arithmetic number, because the mean of its divisors is an integer number (31363200).

Almost surely, 21401132040 is an apocalyptic number.

1401132040 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 1401132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007244800).

1401132040 is an abundant number, since it is smaller than the sum of its proper divisors (2613357560).

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

1401132040 is a wasteful number, since it uses less digits than its factorization.

1401132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9755 (or 9751 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1401132040 is about 37431.6983317615. The cubic root of 1401132040 is about 1118.9903848067.

Adding to 1401132040 its reverse (402311041), we get a palindrome (1803443081).

The spelling of 1401132040 in words is "one billion, four hundred one million, one hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 47 55 56 70 77 88 94 110 140 154 188 220 235 280 308 329 376 385 440 470 517 616 658 770 940 1034 1316 1540 1645 1880 2068 2585 2632 3080 3290 3619 4136 5170 6580 7238 9679 10340 13160 14476 18095 19358 20680 28952 36190 38716 48395 67753 72380 77432 96790 106469 135506 144760 193580 212938 271012 338765 387160 425876 454913 532345 542024 677530 745283 851752 909826 1064690 1355060 1490566 1819652 2129380 2274565 2710120 2981132 3184391 3639304 3726415 4258760 4549130 5004043 5962264 6368782 7452830 9098260 10008086 12737564 14905660 15921955 18196520 20016172 25020215 25475128 29811320 31843910 35028301 40032344 50040430 63687820 70056602 100080860 127375640 140113204 175141505 200161720 280226408 350283010 700566020 1401132040