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142175442340776 = 233134391611156801
BaseRepresentation
bin100000010100111011001100…
…101111001000101110101000
3200122101211200000210201201110
4200110323030233020232220
5122113400301214401101
61222214255130150320
741642560000056045
oct4024731457105650
9618354600721643
10142175442340776
11413352a2771399
1213b42677b823a0
1361441185a5120
14271748453c1cc
1511684999e4cd6
hex814eccbc8ba8

142175442340776 has 128 divisors (see below), whose sum is σ = 391724992391040. Its totient is φ = 42724233216000.

The previous prime is 142175442340759. The next prime is 142175442340793. The reversal of 142175442340776 is 677043244571241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (142175442340759) and next prime (142175442340793).

It is a super-2 number, since 2×1421754423407762 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122325576 + ... + 123482376.

It is an arithmetic number, because the mean of its divisors is an integer number (3060351503055).

Almost surely, 2142175442340776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142175442340776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195862496195520).

142175442340776 is an abundant number, since it is smaller than the sum of its proper divisors (249549550050264).

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

142175442340776 is a wasteful number, since it uses less digits than its factorization.

142175442340776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166027 (or 1166023 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 57.

The spelling of 142175442340776 in words is "one hundred forty-two trillion, one hundred seventy-five billion, four hundred forty-two million, three hundred forty thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 258 312 344 516 559 1032 1118 1677 2236 3354 4472 6708 9161 13416 18322 27483 36644 54966 73288 109932 119093 219864 238186 357279 393923 476372 714558 787846 952744 1156801 1181769 1429116 1575692 2313602 2363538 2858232 3151384 3470403 4627204 4727076 5120999 6940806 9254408 9454152 10241998 13881612 15038413 15362997 20483996 27763224 30076826 30725994 40967992 45115239 49742443 60153652 61451988 90230478 99484886 120307304 122903976 149227329 180460956 198969772 298454658 360921912 397939544 596909316 646651759 1193818632 1293303518 1939955277 2586607036 3879910554 5173214072 7759821108 10597453961 15519642216 21194907922 31792361883 42389815844 63584723766 84779631688 127169447532 137766901493 254338895064 275533802986 413300704479 455690520323 551067605972 826601408958 911381040646 1102135211944 1367071560969 1653202817916 1822762081292 2734143121938 3306405635832 3645524162584 5468286243876 5923976764199 10936572487752 11847953528398 17771930292597 23695907056796 35543860585194 47391814113592 71087721170388 142175442340776