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142972413948 = 2232713192532281
BaseRepresentation
bin1000010100100111010…
…0011110011111111100
3111200000222211011010200
42011021310132133330
54320301414221243
6145403003003500
713220663316120
oct2051164363774
9450028734120
10142972413948
11556a82227a1
1223861209590
1310636638210
146cc42d3580
153abbb66ad3
hex2149d1e7fc

142972413948 has 432 divisors, whose sum is σ = 478513054656. Its totient is φ = 35033057280.

The previous prime is 142972413917. The next prime is 142972414027. The reversal of 142972413948 is 849314279241.

142972413948 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 7 + 241 + 394 + 8 = 666.

It is a super-2 number, since 2×1429724139482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142972413894 and 142972413903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62678568 + ... + 62680848.

It is an arithmetic number, because the mean of its divisors is an integer number (1107669108).

Almost surely, 2142972413948 is an apocalyptic number.

142972413948 is a gapful number since it is divisible by the number (18) 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 142972413948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239256527328).

142972413948 is an abundant number, since it is smaller than the sum of its proper divisors (335540640708).

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

142972413948 is a wasteful number, since it uses less digits than its factorization.

142972413948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2378 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 142972413948 in words is "one hundred forty-two billion, nine hundred seventy-two million, four hundred thirteen thousand, nine hundred forty-eight".