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40408304520 = 23354753135181
BaseRepresentation
bin100101101000100001…
…011100101110001000
310212022010100120000010
4211220201130232020
51130224011221040
630321402111520
72630232630663
oct455041345610
9125263316003
1040408304520
11161564862a1
1279b87ab5a0
133a6c840a7c
141d548d46da
1510b778ae80
hex96885cb88

40408304520 has 128 divisors (see below), whose sum is σ = 126141027840. Its totient is φ = 10347217920.

The previous prime is 40408304491. The next prime is 40408304539. The reversal of 40408304520 is 2540380404.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 231330 + ... + 366510.

It is an arithmetic number, because the mean of its divisors is an integer number (985476780).

Almost surely, 240408304520 is an apocalyptic number.

40408304520 is a gapful number since it is divisible by the number (40) 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 40408304520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63070513920).

40408304520 is an abundant number, since it is smaller than the sum of its proper divisors (85732723320).

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

40408304520 is a wasteful number, since it uses less digits than its factorization.

40408304520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135295 (or 135291 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 40408304520 its reverse (2540380404), we get a palindrome (42948684924).

The spelling of 40408304520 in words is "forty billion, four hundred eight million, three hundred four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 53 60 94 106 120 141 159 188 212 235 265 282 318 376 424 470 530 564 636 705 795 940 1060 1128 1272 1410 1590 1880 2120 2491 2820 3180 4982 5640 6360 7473 9964 12455 14946 19928 24910 29892 37365 49820 59784 74730 99640 135181 149460 270362 298920 405543 540724 675905 811086 1081448 1351810 1622172 2027715 2703620 3244344 4055430 5407240 6353507 7164593 8110860 12707014 14329186 16221720 19060521 21493779 25414028 28658372 31767535 35822965 38121042 42987558 50828056 57316744 63535070 71645930 76242084 85975116 95302605 107468895 127070140 143291860 152484168 171950232 190605210 214937790 254140280 286583720 336735871 381210420 429875580 673471742 762420840 859751160 1010207613 1346943484 1683679355 2020415226 2693886968 3367358710 4040830452 5051038065 6734717420 8081660904 10102076130 13469434840 20204152260 40408304520