Search a number
-
+
2139155509140 = 223351319142711239
BaseRepresentation
bin11111001000001111100…
…110101010111110010100
321120111112102111011001000
4133020033212222332110
5240021442302243030
64314414154303300
7310356160546626
oct37101746527624
97514472434030
102139155509140
117552355764a1
122a66baa27b30
1312694c196820
147576dc90c16
153a99e9d9860
hex1f20f9aaf94

2139155509140 has 384 divisors, whose sum is σ = 7550258688000. Its totient is φ = 498453668352.

The previous prime is 2139155509111. The next prime is 2139155509147. The reversal of 2139155509140 is 419055519312.

2139155509140 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 1 + 5 + 550 + 91 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139155509147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 190327641 + ... + 190338879.

It is an arithmetic number, because the mean of its divisors is an integer number (19662132000).

Almost surely, 22139155509140 is an apocalyptic number.

2139155509140 is a gapful number since it is divisible by the number (20) 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 2139155509140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775129344000).

2139155509140 is an abundant number, since it is smaller than the sum of its proper divisors (5411103178860).

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

2139155509140 is a wasteful number, since it uses less digits than its factorization.

2139155509140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12716 (or 12708 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The spelling of 2139155509140 in words is "two trillion, one hundred thirty-nine billion, one hundred fifty-five million, five hundred nine thousand, one hundred forty".