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142690769767 = 71331376173307
BaseRepresentation
bin1000010011100100001…
…0000101101101100111
3111122022100212010221201
42010321002011231213
54314212314113032
6145315022223331
713211003350060
oct2047102055547
9448270763851
10142690769767
1155573246307
12237a2a24b47
13105c0196360
146c98b3b567
153aa20818e7
hex2139085b67

142690769767 has 128 divisors (see below), whose sum is σ = 192453459968. Its totient is φ = 102792499200.

The previous prime is 142690769729. The next prime is 142690769821. The reversal of 142690769767 is 767967096241.

It is a cyclic number.

It is not a de Polignac number, because 142690769767 - 211 = 142690767719 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142690769699 and 142690769708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142690769717) 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 127 ways as a sum of consecutive naturals, for example, 464790628 + ... + 464790934.

It is an arithmetic number, because the mean of its divisors is an integer number (1503542656).

Almost surely, 2142690769767 is an apocalyptic number.

142690769767 is a deficient number, since it is larger than the sum of its proper divisors (49762690201).

142690769767 is a wasteful number, since it uses less digits than its factorization.

142690769767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529.

The product of its (nonzero) digits is 48009024, while the sum is 64.

The spelling of 142690769767 in words is "one hundred forty-two billion, six hundred ninety million, seven hundred sixty-nine thousand, seven hundred sixty-seven".

Divisors: 1 7 13 31 37 61 73 91 217 259 307 403 427 481 511 793 949 1147 1891 2149 2257 2263 2701 2821 3367 3991 4453 5551 6643 8029 9517 11359 13237 14911 15799 15841 18727 18907 22411 24583 27937 29341 29419 31171 35113 57889 66619 69967 79513 83731 104377 123721 131089 138043 147667 156877 164761 172081 205387 205933 243451 245791 291343 352129 405223 489769 580537 586117 692899 694741 829207 866047 909571 966301 1033669 1088503 1153327 1367071 1704157 1794559 2039401 2141893 2464903 4063759 4577677 4850293 4863187 5107591 5804449 6366997 7546981 7619521 9007687 9031633 9569497 10779691 12561913 14993251 17771923 21479869 25705417 32043739 35753137 42379201 50581627 52828867 63053809 63221431 66398683 75457837 124403461 150359083 179937919 279238297 296654407 334170421 354071389 464790781 550929613 657561151 1568030437 1954668079 2339192947 3856507291 4602928057 10976213059 20384395681 142690769767