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142085670144 = 2831116818853
BaseRepresentation
bin1000010001010011110…
…1110100010100000000
3111120202012020220022120
42010110331310110000
54311442412421034
6145135005004240
713160005161165
oct2042475642400
9446665226276
10142085670144
1155292724a80
1223654253680
1310524a03542
146c3c62806c
153a68da7c49
hex2114f74500

142085670144 has 72 divisors (see below), whose sum is σ = 412532850912. Its totient is φ = 43056261120.

The previous prime is 142085670107. The next prime is 142085670151. The reversal of 142085670144 is 441076580241.

It is a junction number, because it is equal to n+sod(n) for n = 142085670096 and 142085670105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8400979 + ... + 8417874.

Almost surely, 2142085670144 is an apocalyptic number.

It is an amenable number.

142085670144 is an abundant number, since it is smaller than the sum of its proper divisors (270447180768).

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

142085670144 is a wasteful number, since it uses less digits than its factorization.

142085670144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16818883 (or 16818869 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 142085670144 in words is "one hundred forty-two billion, eighty-five million, six hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 16818853 33637706 50456559 67275412 100913118 134550824 185007383 201826236 269101648 370014766 403652472 538203296 555022149 740029532 807304944 1076406592 1110044298 1480059064 1614609888 2152813184 2220088596 2960118128 3229219776 4305626368 4440177192 5920236256 6458439552 8880354384 11840472512 12916879104 17760708768 23680945024 35521417536 47361890048 71042835072 142085670144