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3442505510740 = 2251511605770991
BaseRepresentation
bin110010000110000101010…
…100010110111101010100
3110012002201010110022112111
4302012011110112331110
5422400222402320430
611153244252200404
7503466332015662
oct62060524267524
913162633408474
103442505510740
111107a5a68444a
12477220169104
131bc81c32c31a
14bc89230dc32
155e832a8cc2a
hex32185516f54

3442505510740 has 48 divisors (see below), whose sum is σ = 7277693197824. Its totient is φ = 1367778528000.

The previous prime is 3442505510687. The next prime is 3442505510761. The reversal of 3442505510740 is 470155052443.

It is a junction number, because it is equal to n+sod(n) for n = 3442505510693 and 3442505510702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48456645 + ... + 48527635.

It is an arithmetic number, because the mean of its divisors is an integer number (151618608288).

Almost surely, 23442505510740 is an apocalyptic number.

It is an amenable number.

3442505510740 is an abundant number, since it is smaller than the sum of its proper divisors (3835187687084).

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

3442505510740 is a wasteful number, since it uses less digits than its factorization.

3442505510740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87208 (or 87206 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 40.

The spelling of 3442505510740 in words is "three trillion, four hundred forty-two billion, five hundred five million, five hundred ten thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 151 302 604 755 1510 3020 16057 32114 64228 70991 80285 141982 160570 283964 321140 354955 709910 1419820 2424607 4849214 9698428 10719641 12123035 21439282 24246070 42878564 48492140 53598205 107196410 214392820 1139902487 2279804974 4559609948 5699512435 11399024870 22798049740 172125275537 344250551074 688501102148 860626377685 1721252755370 3442505510740