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142758101829 = 37312413312749
BaseRepresentation
bin1000010011110100001…
…0111100001101000101
3111122111001112222011210
42010331002330031011
54314332033224304
6145325425322033
713212451562340
oct2047502741505
9448431488153
10142758101829
11555a8254942
1223801496319
131060110c705
146ca3a67457
153aa7e31c89
hex213d0bc345

142758101829 has 64 divisors (see below), whose sum is σ = 226248704000. Its totient is φ = 78350976000.

The previous prime is 142758101813. The next prime is 142758101831. The reversal of 142758101829 is 928101857241.

It is a happy number.

It is not a de Polignac number, because 142758101829 - 24 = 142758101813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142758101879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51929547 + ... + 51932295.

It is an arithmetic number, because the mean of its divisors is an integer number (3535136000).

Almost surely, 2142758101829 is an apocalyptic number.

It is an amenable number.

142758101829 is a deficient number, since it is larger than the sum of its proper divisors (83490602171).

142758101829 is a wasteful number, since it uses less digits than its factorization.

142758101829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362.

The product of its (nonzero) digits is 322560, while the sum is 48.

The spelling of 142758101829 in words is "one hundred forty-two billion, seven hundred fifty-eight million, one hundred one thousand, eight hundred twenty-nine".

Divisors: 1 3 7 21 31 93 217 241 331 651 723 993 1687 2317 2749 5061 6951 7471 8247 10261 19243 22413 30783 52297 57729 71827 79771 85219 156891 215481 239313 255657 558397 596533 662509 909919 1675191 1789599 1987527 2472901 2729757 4637563 6369433 7418703 13912689 17310307 19108299 20537779 28207489 51930921 61613337 84622467 143764453 197452423 219290479 431293359 592357269 657871437 1535033353 4605100059 6798004849 20394014547 47586033943 142758101829