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32030414040 = 2335819132587
BaseRepresentation
bin11101110101001010…
…010101010011011000
310001200020212121211010
4131311022111103120
51011044241222130
622414202533520
72212513012212
oct356512252330
9101606777733
1032030414040
1112647374169
12625ab072a0
133035c2aa21
14179bd7d5b2
15c76ee80b0
hex7752954d8

32030414040 has 64 divisors (see below), whose sum is σ = 96105922560. Its totient is φ = 8540138880.

The previous prime is 32030414029. The next prime is 32030414047. The reversal of 32030414040 is 4041403023.

It is a junction number, because it is equal to n+sod(n) for n = 32030413998 and 32030414016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32030414047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966627 + ... + 999213.

It is an arithmetic number, because the mean of its divisors is an integer number (1501655040).

Almost surely, 232030414040 is an apocalyptic number.

32030414040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32030414040 is an abundant number, since it is smaller than the sum of its proper divisors (64075508520).

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

32030414040 is a wasteful number, since it uses less digits than its factorization.

32030414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40792 (or 40788 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 32030414040 its reverse (4041403023), we get a palindrome (36071817063).

The spelling of 32030414040 in words is "thirty-two billion, thirty million, four hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 8191 16382 24573 32587 32764 40955 49146 65174 65528 81910 97761 98292 122865 130348 162935 163820 195522 196584 245730 260696 325870 327640 391044 488805 491460 651740 782088 977610 982920 1303480 1955220 3910440 266920117 533840234 800760351 1067680468 1334600585 1601520702 2135360936 2669201170 3203041404 4003801755 5338402340 6406082808 8007603510 10676804680 16015207020 32030414040