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142148604676 = 221321728532
BaseRepresentation
bin1000010001100010110…
…1111001001100000100
3111120220120200022021011
42010120231321030010
54312110020322201
6145145133532004
713161401126611
oct2043055711404
9446816608234
10142148604676
11553151aa691
1223671344004
1310534a6a100
146c46b2b508
153a6e68a151
hex2118b79304

142148604676 has 81 divisors (see below), whose sum is σ = 286480458621. Its totient is φ = 61675421184.

The previous prime is 142148604673. The next prime is 142148604707. The reversal of 142148604676 is 676406841241.

The square root of 142148604676 is 377026.

It is a perfect power (a square), and thus also a powerful number.

142148604676 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 139076784900 + 3071819776 = 372930^2 + 55424^2 .

It is a super-2 number, since 2×1421486046762 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (142148604673) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 166645066 + ... + 166645918.

Almost surely, 2142148604676 is an apocalyptic number.

142148604676 is the 377026-th square number.

It is an amenable number.

142148604676 is an abundant number, since it is smaller than the sum of its proper divisors (144331853945).

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

142148604676 is an equidigital number, since it uses as much as digits as its factorization.

142148604676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

Multiplying 142148604676 by its sum of digits (49), we get a square (6965281629124 = 26391822).

The spelling of 142148604676 in words is "one hundred forty-two billion, one hundred forty-eight million, six hundred four thousand, six hundred seventy-six".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 289 338 442 578 676 853 884 1156 1706 2873 3412 3757 5746 7514 11089 11492 14501 15028 22178 29002 44356 48841 58004 97682 144157 188513 195364 246517 288314 377026 493034 576628 727609 754052 986068 1455218 2450669 2910436 3204721 4901338 6409442 9458917 9802676 12369353 12818884 18917834 24738706 37835668 41661373 49477412 83322746 122965921 160801589 166645492 210279001 245931842 321603178 420558002 491863684 643206356 841116004 2090420657 2733627013 4180841314 5467254026 8361682628 10934508052 35537151169 71074302338 142148604676