Search a number
-
+
40403131440 = 2435724049483
BaseRepresentation
bin100101101000001101…
…101101110000110000
310212021202121201212120
4211220031231300300
51130221200201230
630321055154240
72630140644060
oct455015556060
9125252551776
1040403131440
1116153572721
1279b6b15980
133a6b74c289
141d53d493a0
1510b70b8310
hex96836dc30

40403131440 has 80 divisors (see below), whose sum is σ = 143142528768. Its totient is φ = 9235001088.

The previous prime is 40403131423. The next prime is 40403131453. The reversal of 40403131440 is 4413130404.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40403131440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12023062 + ... + 12026421.

Almost surely, 240403131440 is an apocalyptic number.

40403131440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40403131440 is an abundant number, since it is smaller than the sum of its proper divisors (102739397328).

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

40403131440 is a wasteful number, since it uses less digits than its factorization.

40403131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24049506 (or 24049500 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 40403131440 its reverse (4413130404), we get a palindrome (44816261844).

The spelling of 40403131440 in words is "forty billion, four hundred three million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 24049483 48098966 72148449 96197932 120247415 144296898 168346381 192395864 240494830 288593796 336692762 360742245 384791728 480989660 505039143 577187592 673385524 721484490 841731905 961979320 1010078286 1154375184 1346771048 1442968980 1683463810 1923958640 2020156572 2525195715 2693542096 2885937960 3366927620 4040313144 5050391430 5771875920 6733855240 8080626288 10100782860 13467710480 20201565720 40403131440