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40413387960 = 233251110205401
BaseRepresentation
bin100101101000110100…
…110101110010111000
310212022110220211011200
4211220310311302320
51130231311403320
630322103054200
72630324062341
oct455064656270
9125273824150
1040413387960
1116159338590
1279ba441360
133a7090081a
141d554590c8
1510b7e42290
hex968d35cb8

40413387960 has 96 divisors (see below), whose sum is σ = 143283844080. Its totient is φ = 9797184000.

The previous prime is 40413387947. The next prime is 40413387991. The reversal of 40413387960 is 6978331404.

40413387960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5098741 + ... + 5106660.

Almost surely, 240413387960 is an apocalyptic number.

40413387960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40413387960 is an abundant number, since it is smaller than the sum of its proper divisors (102870456120).

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

40413387960 is a wasteful number, since it uses less digits than its factorization.

40413387960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10205429 (or 10205422 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 40413387960 in words is "forty billion, four hundred thirteen million, three hundred eighty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 10205401 20410802 30616203 40821604 51027005 61232406 81643208 91848609 102054010 112259411 122464812 153081015 183697218 204108020 224518822 244929624 306162030 336778233 367394436 408216040 449037644 459243045 561297055 612324060 673556466 734788872 898075288 918486090 1010334699 1122594110 1224648120 1347112932 1683891165 1836972180 2020669398 2245188220 2694225864 3367782330 3673944360 4041338796 4490376440 5051673495 6735564660 8082677592 10103346990 13471129320 20206693980 40413387960