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153838020040 = 2353845950501
BaseRepresentation
bin1000111101000101110…
…1011110010111001000
3112201002020101010120221
42033101131132113020
510010030013120130
6154401110355424
714054151411025
oct2172135362710
9481066333527
10153838020040
115a273608441
122599405bb74
1311678769133
1476353bc54c
154005a0a87a
hex23d175e5c8

153838020040 has 16 divisors (see below), whose sum is σ = 346135545180. Its totient is φ = 61535208000.

The previous prime is 153838019983. The next prime is 153838020047. The reversal of 153838020040 is 40020838351.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 152563672836 + 1274347204 = 390594^2 + 35698^2 .

It is a super-2 number, since 2×1538380200402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153838019978 and 153838020005.

It is not an unprimeable number, because it can be changed into a prime (153838020047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1922975211 + ... + 1922975290.

Almost surely, 2153838020040 is an apocalyptic number.

153838020040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153838020040 is an abundant number, since it is smaller than the sum of its proper divisors (192297525140).

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

153838020040 is a wasteful number, since it uses less digits than its factorization.

153838020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3845950512 (or 3845950508 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

Adding to 153838020040 its reverse (40020838351), we get a palindrome (193858858391).

The spelling of 153838020040 in words is "one hundred fifty-three billion, eight hundred thirty-eight million, twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 3845950501 7691901002 15383802004 19229752505 30767604008 38459505010 76919010020 153838020040