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42214384540 = 22531156743451
BaseRepresentation
bin100111010100001011…
…000110001110011100
311000221222210221000201
4213110023012032130
51142423340301130
631220520433244
73023053230256
oct472413061634
9130858727021
1042214384540
11169a2a12a09
128221618824
133c99a7c383
142086710cd6
1511710e5bca
hex9d42c639c

42214384540 has 48 divisors (see below), whose sum is σ = 91570397184. Its totient is φ = 16330248000.

The previous prime is 42214384519. The next prime is 42214384559. The reversal of 42214384540 is 4548341224.

It is a self number, because there is not a number n which added to its sum of digits gives 42214384540.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 949815 + ... + 993265.

It is an arithmetic number, because the mean of its divisors is an integer number (1907716608).

Almost surely, 242214384540 is an apocalyptic number.

It is an amenable number.

42214384540 is an abundant number, since it is smaller than the sum of its proper divisors (49356012644).

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

42214384540 is a wasteful number, since it uses less digits than its factorization.

42214384540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45058 (or 45056 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 37.

The spelling of 42214384540 in words is "forty-two billion, two hundred fourteen million, three hundred eighty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1567 3134 6268 7835 15670 31340 43451 48577 86902 97154 173804 194308 217255 242885 434510 485770 869020 971540 1346981 2693962 5387924 6734905 13469810 26939620 68087717 136175434 272350868 340438585 680877170 1361754340 2110719227 4221438454 8442876908 10553596135 21107192270 42214384540