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142290621505440 = 25335293771432349
BaseRepresentation
bin100000010110100110011101…
…111100110001111110100000
3200122210211222001201112101000
4200112212131330301332200
5122122242143101133230
61222343224211312000
741654105150602662
oct4026463574617640
9618724861645330
10142290621505440
114137a128370581
1213b60a612ab600
136151c42aa14b5
14271cc8d500532
15116b48b634b60
hex81699df31fa0

142290621505440 has 768 divisors, whose sum is σ = 536567794560000. Its totient is φ = 35143459061760.

The previous prime is 142290621505321. The next prime is 142290621505471. The reversal of 142290621505440 is 44505126092241.

142290621505440 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 90 + 6 + 2 + 15 + 0 + 544 + 0 = 666.

142290621505440 is digitally balanced in base 2, base 3 and base 4, because in such bases 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 328894386 + ... + 329326734.

It is an arithmetic number, because the mean of its divisors is an integer number (698655982500).

Almost surely, 2142290621505440 is an apocalyptic number.

142290621505440 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 142290621505440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268283897280000).

142290621505440 is an abundant number, since it is smaller than the sum of its proper divisors (394277173054560).

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

142290621505440 is a wasteful number, since it uses less digits than its factorization.

142290621505440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432510 (or 432496 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

Adding to 142290621505440 its reverse (44505126092241), we get a palindrome (186795747597681).

The spelling of 142290621505440 in words is "one hundred forty-two trillion, two hundred ninety billion, six hundred twenty-one million, five hundred five thousand, four hundred forty".