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142522035040 = 25572111797213
BaseRepresentation
bin1000010010111011111…
…0011010101101100000
3111121212121100112102101
42010232332122231200
54313341120110130
6145250153500144
713203554211100
oct2045676325540
9447777315371
10142522035040
1155496a78420
1223756411654
1310594237c18
146c80577200
153a923511ca
hex212ef9ab60

142522035040 has 288 divisors, whose sum is σ = 452427734304. Its totient is φ = 41808936960.

The previous prime is 142522034971. The next prime is 142522035043. The reversal of 142522035040 is 40530225241.

142522035040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142522035043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1417474 + ... + 1514686.

It is an arithmetic number, because the mean of its divisors is an integer number (1570929633).

Almost surely, 2142522035040 is an apocalyptic number.

142522035040 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 142522035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226213867152).

142522035040 is an abundant number, since it is smaller than the sum of its proper divisors (309905699264).

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

142522035040 is a wasteful number, since it uses less digits than its factorization.

142522035040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97270 (or 97255 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The spelling of 142522035040 in words is "one hundred forty-two billion, five hundred twenty-two million, thirty-five thousand, forty".