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152423423040 = 2635761371837
BaseRepresentation
bin1000110111110100100…
…1001101110001000000
3112120102122120011022110
42031331021031301000
54444130344014130
6154004454535320
714004123501360
oct2157511156100
9476378504273
10152423423040
1159708059809
122565a367540
13114b16795a5
14753d58a9a0
153e71730ab0
hex237d24dc40

152423423040 has 224 divisors, whose sum is σ = 562147663104. Its totient is φ = 34268405760.

The previous prime is 152423423023. The next prime is 152423423051. The reversal of 152423423040 is 40324324251.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 152423422989 and 152423423007.

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 31 ways as a sum of consecutive naturals, for example, 224002 + ... + 595838.

Almost surely, 2152423423040 is an apocalyptic number.

152423423040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152423423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281073831552).

152423423040 is an abundant number, since it is smaller than the sum of its proper divisors (409724240064).

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

152423423040 is a wasteful number, since it uses less digits than its factorization.

152423423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371925 (or 371915 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 152423423040 its reverse (40324324251), we get a palindrome (192747747291).

The spelling of 152423423040 in words is "one hundred fifty-two billion, four hundred twenty-three million, four hundred twenty-three thousand, forty".