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34130131040 = 255419509101
BaseRepresentation
bin11111110010010100…
…000111100001100000
310021002120212022001102
4133302110013201200
51024344303143130
623402411053532
72315530220135
oct376224074140
9107076768042
1034130131040
1113524629675
1267461412a8
1332abc49b15
14191ab9458c
15d4b506645
hex7f2507860

34130131040 has 48 divisors (see below), whose sum is σ = 80825033520. Its totient is φ = 13619443200.

The previous prime is 34130131033. The next prime is 34130131051. The reversal of 34130131040 is 4013103143.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187511 + ... + 321590.

It is an arithmetic number, because the mean of its divisors is an integer number (1683854865).

Almost surely, 234130131040 is an apocalyptic number.

It is an amenable number.

34130131040 is an abundant number, since it is smaller than the sum of its proper divisors (46694902480).

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

34130131040 is a wasteful number, since it uses less digits than its factorization.

34130131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509535 (or 509527 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 34130131040 its reverse (4013103143), we get a palindrome (38143234183).

The spelling of 34130131040 in words is "thirty-four billion, one hundred thirty million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 419 838 1676 2095 3352 4190 6704 8380 13408 16760 33520 67040 509101 1018202 2036404 2545505 4072808 5091010 8145616 10182020 16291232 20364040 40728080 81456160 213313319 426626638 853253276 1066566595 1706506552 2133133190 3413013104 4266266380 6826026208 8532532760 17065065520 34130131040