Search a number
-
+
141037978704 = 243722914291447
BaseRepresentation
bin1000001101011010000…
…1001100010001010000
3111111001011211122211220
42003112201030101100
54302321210304304
6144443021205040
713122024016200
oct2032641142120
9444034748756
10141037978704
11548a5297987
1223401400780
13103b893898c
146b7d424400
153a06e05ad9
hex20d684c450

141037978704 has 240 divisors, whose sum is σ = 439058505600. Its totient is φ = 38852932608.

The previous prime is 141037978681. The next prime is 141037978717. The reversal of 141037978704 is 407879730141.

It is a super-2 number, since 2×1410379787042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97468509 + ... + 97469955.

It is an arithmetic number, because the mean of its divisors is an integer number (1829410440).

Almost surely, 2141037978704 is an apocalyptic number.

141037978704 is a gapful number since it is divisible by the number (14) 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 141037978704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219529252800).

141037978704 is an abundant number, since it is smaller than the sum of its proper divisors (298020526896).

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

141037978704 is a wasteful number, since it uses less digits than its factorization.

141037978704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 51.

The spelling of 141037978704 in words is "one hundred forty-one billion, thirty-seven million, nine hundred seventy-eight thousand, seven hundred four".