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42152044300 = 22524310139677
BaseRepresentation
bin100111010000011101…
…010010011100001100
311000210122111201021221
4213100131102130030
51142311410404200
631210412333124
73021365315302
oct472035223414
9130718451257
1042152044300
1116970803853
1282047741a4
133c89b93162
14207c324272
15116a8ce91a
hex9d075270c

42152044300 has 72 divisors (see below), whose sum is σ = 93699221616. Its totient is φ = 16450748160.

The previous prime is 42152044283. The next prime is 42152044303. The reversal of 42152044300 is 344025124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (42152044303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4351062 + ... + 4360738.

It is an arithmetic number, because the mean of its divisors is an integer number (1301378078).

Almost surely, 242152044300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42152044300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46849610808).

42152044300 is an abundant number, since it is smaller than the sum of its proper divisors (51547177316).

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

42152044300 is a wasteful number, since it uses less digits than its factorization.

42152044300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10747 (or 10740 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 42152044300 its reverse (344025124), we get a palindrome (42496069424).

The spelling of 42152044300 in words is "forty-two billion, one hundred fifty-two million, forty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1013 1075 2026 2150 4052 4300 5065 9677 10130 19354 20260 25325 38708 43559 48385 50650 87118 96770 101300 174236 193540 217795 241925 416111 435590 483850 832222 871180 967700 1088975 1664444 2080555 2177950 4161110 4355900 8322220 9802801 10402775 19605602 20805550 39211204 41611100 49014005 98028010 196056020 245070025 421520443 490140050 843040886 980280100 1686081772 2107602215 4215204430 8430408860 10538011075 21076022150 42152044300