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242114050240 = 2653172386771
BaseRepresentation
bin1110000101111100011…
…1110011100011000000
3212010221100022002201221
43201133013303203000
512431322144101430
6303120424204424
723330545320406
oct3413707634300
9763840262657
10242114050240
11937530844a7
123ab0b609714
1319aa636b82a
14ba0b355476
15647084b57a
hex385f1f38c0

242114050240 has 56 divisors (see below), whose sum is σ = 578353043952. Its totient is φ = 96540072960.

The previous prime is 242114050219. The next prime is 242114050253. The reversal of 242114050240 is 42050411242.

242114050240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 1091946 + ... + 1294825.

Almost surely, 2242114050240 is an apocalyptic number.

242114050240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242114050240 is an abundant number, since it is smaller than the sum of its proper divisors (336238993712).

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

242114050240 is a wasteful number, since it uses less digits than its factorization.

242114050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387105 (or 2387095 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 242114050240 its reverse (42050411242), we get a palindrome (284164461482).

The spelling of 242114050240 in words is "two hundred forty-two billion, one hundred fourteen million, fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 317 320 634 1268 1585 2536 3170 5072 6340 10144 12680 20288 25360 50720 101440 2386771 4773542 9547084 11933855 19094168 23867710 38188336 47735420 76376672 95470840 152753344 190941680 381883360 756606407 763766720 1513212814 3026425628 3783032035 6052851256 7566064070 12105702512 15132128140 24211405024 30264256280 48422810048 60528512560 121057025120 242114050240