Search a number
-
+
142903721880 = 233551931109229
BaseRepresentation
bin1000010100010110111…
…0011011111110011000
3111122212012120020100000
42011011232123332120
54320131323100010
6145352110413000
713216200410523
oct2050556337630
9448765506300
10142903721880
1155672475397
1223842201160
1310625336b1a
146cb9131bba
153ab5ae87c0
hex2145b9bf98

142903721880 has 768 divisors, whose sum is σ = 530449920000. Its totient is φ = 34465720320.

The previous prime is 142903721869. The next prime is 142903721929. The reversal of 142903721880 is 88127309241.

It is a happy number.

142903721880 is a `hidden beast` number, since 1 + 429 + 0 + 3 + 7 + 218 + 8 + 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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 624033606 + ... + 624033834.

It is an arithmetic number, because the mean of its divisors is an integer number (690690000).

Almost surely, 2142903721880 is an apocalyptic number.

142903721880 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 142903721880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265224960000).

142903721880 is an abundant number, since it is smaller than the sum of its proper divisors (387546198120).

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

142903721880 is a wasteful number, since it uses less digits than its factorization.

142903721880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 142903721880 in words is "one hundred forty-two billion, nine hundred three million, seven hundred twenty-one thousand, eight hundred eighty".